ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขท่ี …… ใบงานท่ี 1 : การแยกตวั ประกอบของพหุนาม การเขียนพหุนามที่กาหนดใหใ้ นรูปการคูณกนั ของพหุนามท่ีมีดีกรีต่ากวา่ ต้งั แต่สองพหุนามข้ึนไป เรียกวา่ กำรแยกตัวประกอบของพหุนำม แบบฝึ กหดั ที่ 1 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1) 4x 12 ............................... 16) 6x 12 ................................. 2) x2 3x ............................... 17) 10x2 5x ............................... 3) 2x 4 ............................... 18) 7x 21 ................................. 4) 5x 15 ............................... 19) 9x2 6x ............................... 5) x2 6x ............................... 20) 5x 10 ................................. 6) 8x 6 ............................... 21) 8x 12 ................................. 7) 9x 3 ............................... 22) 2x2 5x .............................. 8) 2x2 6x ............................... 23) 10x2 x ............................... 9) 3x2 9x ............................... 24) 8x 16 ................................ 10) x2 10x .............................. 25) 3x2 9x ............................... 11) 9x 3 ............................... 26) 4x 6 ................................ 12) 10x 5 ............................... 27) 3x2 2x ............................... 13) 3x2 6x ............................... 28) x2 8x ............................... 14) 4x2 8x ............................... 29) 8x 2 ................................ 15) x2 7x .............................. 30) 12x2 12x ............................. บทที่ 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขท่ี …… ใบงานที่ 2 : การแยกตวั ประกอบของพหุนามในรูป x2 bx c การแยกตวั ประกอบของพหุนามในรูป x2 bx c เม่ือ b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหัดท่ี 2 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1) x2 13x 36 ............................... 16) x2 10x 24 ............................... 2) x2 9x 20 ............................... 17) x2 14x 45 ............................... 3) x2 3x 2 ............................... 18) x2 10x 25 ............................... 4) x2 2x 1 ............................... 19) x2 10x 21 ............................... 5) x2 14x 48 ............................... 20) x2 17x 72 ............................... 6) x2 10x 16 ............................... 21) x2 4x 3 ................................ 7) x2 7x 10 ............................... 22) x2 10x 16 ............................... 8) x2 18x 81 ............................... 23) x2 12x 27 ............................... 9) x2 16x 64 ............................... 24) x2 4x 4 ................................ 10) x2 11x 18 ............................... 25) x2 5x 4 ................................. 11) x2 10x 9 ............................... 26) x2 11x 18 ............................... 12) x2 14x 49 ............................. 27) x2 13x 40 ............................... 13) x2 9x 14 ............................... 28) x2 3x 2 ............................... 14) x2 8x 7 ............................... 29) x2 7x 6 ............................... 15) x2 5x 6 ............................... 30) x2 15x 26 ............................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 3 : การแยกตวั ประกอบของพหุนามในรูป x2 bx c การแยกตวั ประกอบของพหุนามในรูป x2 bx c เมื่อ b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ที่ 3 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1) x2 9x 18 ............................... 16) x2 7x 6 ............................... 2) x2 12x 35 ............................... 17) x2 6x 5 ............................... 3) x2 13x 42 ............................. 18) x2 7x 6 ............................... 4) x2 16x 63 ............................... 19) x2 7x 10 ............................... 5) x2 9x 20 ............................... 20) x2 8x 16 ............................... 6) x2 11x 28 ............................... 21) x2 6x 9 ................................ 7) x2 2x 1 ............................... 22) x2 3x 2 ............................... 8) x2 6x 5 ............................... 23) x2 8x 16 ............................... 9) x2 11x 28 ............................... 24) x2 9x 20 ................................ 10) x2 10x 21 ............................... 25) x2 6x 8 ................................. 11) x2 11x 18 ............................... 26) x2 13x 40 ............................... 12) x2 5x 4 ................................. 27) x2 10x 9 ............................... 13) x2 9x 8 ................................... 28) x2 9x 8 ............................... 14) x2 8x 7 ................................... 29) x2 7x 6 ............................... 15) x2 9x 18 ............................... 30) x2 10x 16 ............................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานท่ี 4 : การแยกตวั ประกอบของพหุนามในรูป x2 bx c การแยกตวั ประกอบของพหุนามในรูป x2 bx c เมื่อ b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหัดที่ 4 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1) x2 5x 14 ............................... 16) x2 3x 40 ............................... 2) x2 2x 35 ............................... 17) x2 5x 6 .................................. 3) x2 3x 4 ............................. 18) x2 7x 8 ................................... 4) x2 x 6 ............................... 19) x2 x 30 .................................. 5) x2 5x 14 ............................... 20) x2 3x 4 ................................... 6) x2 2x 35 ............................... 21) x2 5x 6 .................................... 7) x2 6x 7 ............................... 22) x2 5x 14 .................................. 8) x2 3x 18 ............................... 23) x2 x 2 ....................................... 9) x2 5x 6 ............................... 24) x2 2x 35 .................................. 10) x2 x 30 ............................... 25) x2 3x 10 ................................... 11) x2 5x 6 ............................... 26) x2 x 6 ..................................... 12) x2 7x 18 ................................. 27) x2 5x 14 ...................................... 13) x2 5x 36 ................................... 28) x2 2x 3 ..................................... 14) x2 6x 7 ................................... 29) x2 4x 21 ................................... 15) x2 5x 24 ............................... 30) x2 8x 9 ...................................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 5 : การแยกตวั ประกอบของพหุนามในรูป x2 bx c การแยกตวั ประกอบของพหุนามในรูป x2 bx c เม่ือ b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ท่ี 5 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1) x2 8x 9 ..................................... 16) x2 8x 7 ...................................... 2) x2 2x 8 .................................... 17) x2 7x 12 .................................... 3) x2 10x 25 ............................... 18) x2 12x 35 ................................... 4) x2 7x 12 ................................. 19) x2 x 72 ...................................... 5) x2 3x 28 ................................. 20) x2 6x 16 ..................................... 6) x2 6x 27 .................................. 21) x2 3x 2 ...................................... 7) x2 x 42 ................................. 22) x2 2x 35 ..................................... 8) x2 3x 40 ................................. 23) x2 5x 6 ....................................... 9) x2 6x 16 .................................. 24) x2 2x 15 ..................................... 10) x2 9x 18 ................................. 25) x2 5x 4 ...................................... 11) x2 4x 45 ............................... 26) x2 7x 8 ..................................... 12) x2 5x 14 ................................. 27) x2 11x 18 ..................................... 13) x2 3x 10 ................................... 28) x2 10x 24 .................................. 14) x2 10x 21 ................................ 29) x2 4x 4 .................................... 15) x2 4x 21 ............................... 30) x2 2x 15 .................................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 6 : การแยกตวั ประกอบของพหุนามในรูป ax2 bx c การแยกตวั ประกอบของพหุนามในรูป ax2 bx c เมื่อ a,b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหัดท่ี 6 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1) 2x2 11x 15 ............................... 16) 3x2 19x 6 .............................. 2) 4x2 5x 1 .................................. 17) 2x2 13x 6 ............................... 3) 6x2 25x 14 .............................. 18) 4x2 25x 6 ............................... 4) 3x2 7x 2 ................................. 19) 4x2 27x 35 ............................ 5) 2x2 5x 2 ................................. 20) 2x2 3x 1 ................................ 6) 2x2 5x 3 .................................. 21) 4x2 7x 3 ................................ 7) 2x2 15x 7 ................................ 22) 2x2 15x 25 ............................ 8) 5x2 13x 6 ................................ 23) 10x2 31x 15 ........................... 9) 2x2 10x 12 .............................. 24) 2x2 17x 30 ........................... 10) 3x2 7x 2 ................................ 25) 4x2 35x 49 ............................ 11) 2x2 7x 5 ............................... 26) 3x2 4x 1 ................................ 12) 5x2 12x 7 .............................. 27) 2x2 5x 2 ............................... 13) 4x2 8x 3 ................................ 28) 2x2 11x 5 ............................... 14) 8x2 6x 1 ............................... 29) 12x2 25x 7 ........................... 15) 3x2 10x 7 ............................. 30) 2x2 7x 6 ............................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขท่ี …… ใบงานที่ 7 : การแยกตวั ประกอบของพหุนามในรูป ax2 bx c การแยกตวั ประกอบของพหุนามในรูป ax2 bx c เมื่อ a,b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ท่ี 7 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1) 4x2 4x 1 .................................. 16) 10x2 9x 2 ............................. 2) 2x2 5x 3 .................................. 17) 5x2 21x 4 .............................. 3) 2x2 11x 14 ............................. 18) 2x2 4x 2 ............................... 4) 2x2 13x 6 ................................ 19) 15x2 41x 14 .......................... 5) 2x2 11x 5 ............................... 20) 3x2 10x 8 .............................. 6) 3x2 4x 1 .................................. 21) 2x2 16x 16 ............................ 7) 2x2 5x 2 .................................. 22) 2x2 20x 32 ........................... 8) 3x2 20x 25 .............................. 23) 2x2 3x 1 ................................ 9) 5x2 36x 36 .............................. 24) 2x2 9x 4 ............................... 10) 2x2 15x 7 ............................... 25) 3x2 8x 5 ................................. 11) 9x2 6x 1 ................................ 26) 3x2 14x 16 ............................ 12) 4x2 11x 6 .............................. 27) 4x2 12x 9 .............................. 13) 4x2 8x 3 ................................ 28) 5x2 7x 2 .............................. 14) 5x2 16x 3 .............................. 29) 2x2 13x 15 ........................... 15) 2x2 20x 32 ........................... 30) 10x2 41x 40 .......................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 8 : การแยกตวั ประกอบของพหุนามในรูป ax2 bx c การแยกตวั ประกอบของพหุนามในรูป ax2 bx c เม่ือ a,b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหัดที่ 8 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1) 3x2 x 4 .................................... 16) 2x2 2x 12 ............................. 2) 15x2 4x 3 ............................... 17) 2x2 x 6 .................................. 3) 2x2 2x 4 ................................. 18) 9x2 18x 7 .............................. 4) 9x2 6x 35 ............................... 19) 3x2 2x 8 ............................... 5) 4x2 4x 3 .................................. 20) 3x2 2x 1 ............................... 6) 6x2 x 12 ................................. 21) 5x2 37x 24 ........................... 7) 6x2 7x 5 ................................. 22) 6x2 11x 7 ............................. 8) 5x2 27x 18 .............................. 23) 2x2 x 3 .................................. 9) 4x2 7x 15 ................................ 24) 6x2 7x 49 ............................. 10) 2x2 5x 7 ............................... 25) 2x2 x 1 ................................. 11) 2x2 11x 21 ............................ 26) 10x2 7x 6 ............................ 12) 3x2 13x 56 ............................ 27) 2x2 3x 2 ............................... 13) 8x2 6x 5 ................................ 28) 2x2 4x 16 ............................. 14) 2x2 5x 25 .............................. 29) 2x2 8x 42 ............................. 15) 6x2 x 12 ................................ 30) 3x2 2x 21 ............................ บทที่ 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 9 : การแยกตวั ประกอบของพหุนามในรูป ax2 bx c การแยกตวั ประกอบของพหุนามในรูป ax2 bx c เมื่อ a,b และ c เป็นจานวนเตม็ สามารถทาไดด้ งั น้ี ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ที่ 9 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1) 2x2 24x 54 .............................. 16) 15x2 13x 20 ............................... 2) 3x2 5x 8 ................................. 17) 4x2 3x 1 ..................................... 3) 2x2 6x 20 ............................... 18) 2x2 13x 15 ................................. 4) 4x2 9x 9 ................................. 19) 2x2 11x 40 ................................ 5) 2x2 7x 6 ................................. 20) 2x2 7x 4 ................................... 6) 2x2 7x 3 ................................. 21) 2x2 4x 2 .................................... 7) 8x2 34x 21 ............................. 22) 4x2 4x 63 ................................. 8) 4x2 12x 5 ................................ 23) 4x2 33x 54 ................................ 9) 15x2 26x 8 ............................. 24) 3x2 7x 20 ................................. 10) 2x2 19x 24 ........................... 25) 5x2 7x 6 .................................... 11) 4x2 13x 10 ............................ 26) 6x2 x 12 ................................... 12) 2x2 3x 27 ............................. 27) 2x2 7x 6 ................................... 13) 4x2 11x 7 .............................. 28) 2x2 6x 4 ................................... 14) 3x2 13x 14 ............................ 29) 2x2 x 3 ..................................... 15) 2x2 17x 9 .............................. 30) 6x2 x 12 .................................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… แบบฝึ กหัดท่ี 10 ข้อ 1 ) ใหน้ กั เรียนหาค่า a และ b ท่ีทาใหส้ มการเป็นจริง 1) 4x2 8x 3 ax b2x 3 4) 12x2 17x 6 ax b4x 3 ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... 2) 6x2 11x 3 ax b2x 3 5) 30x2 49x 20 ax b6x 5 ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... 3) 5x2 22x 8 ax b3x 4 6) 25x2 5x 2 ax b5x 2 ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... ......................................................................................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ข้อ 2 ) จงหาพ้ืนท่ีส่วนท่ีแรเงาจากรูปที่กาหนดให้ ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ข้อ 3 ) กาหนดดา้ น ความยาว และพ้นื ท่ี ของสี่เหลี่ยมพ้นื ผา้ ดงั รูป จงหาค่า p และ q ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานท่ี 10 : การแยกตวั ประกอบของพหุนามผลต่างกาลงั สอง สูตรผลต่างกาลงั สอง ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหัดที่ 11 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1) x2 1 .......................................... 16) 9x2 81 ................................... 2) x2 4 ......................................... 17) 4x2 21 ................................... 3) x2 5 ......................................... 18) x2 3 ..................................... 4) x2 7 ......................................... 19) x2 225 .................................... 5) x2 16 ....................................... 20) x2 169 ................................... 6) x2 100 ..................................... 21) x2 196 .................................... 7) x2 15 ....................................... 22) x2 144 ................................... 8) x2 12 ....................................... 23) x2 13 ...................................... 9) x2 81 ....................................... 24) x2 20 ..................................... 10) x2 2 ....................................... 25) x2 18 ...................................... 11) 4x2 7 ..................................... 26) x2 35 .................................... 12) x2 11 ..................................... 27) x2 17 ..................................... 13) 1 x2 5 .................................. 28) 4 x2 16 ................................ 16 9 14) 1 x2 9 ................................... 29) 9 x2 3 .................................. 4 16 15) 1 x2 12 ................................ 30) 6 x2 12 ................................. 16 5 บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 11 : การแยกตวั ประกอบของพหุนามโดยใชก้ าลงั สองสมบรู ณ์ สูตรกาลงั สองสมบรู ณ์ ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ท่ี 12 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป โดยใชก้ าลงั สองสมบูรณ์ 1. x2 2x 5 3. x2 6x 18 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... . 2. x2 7x 5 4. 4x2 12x 7 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… 5. 2x2 12x 5 7. x2 7x 6 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 6. x2 12x 34 8. 3x2 2x 3 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานท่ี 12 : การแยกตวั ประกอบของพหุนามที่เป็นผลบวกกาลงั สาม สูตรผลบวกกาลงั สาม ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ที่ 13 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1. x3 216 4. x y3 x y3 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 2. 125x3 27 ............................................................................... 5. 3x 53 729 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 3. x3 125y3 ............................................................................... ............................................................................... 6. x3 y3z3 64 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... .............................................................................. ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานท่ี 13 : การแยกตวั ประกอบของพหุนามท่ีเป็นผลต่างกาลงั สาม สูตรผลต่างกาลงั สาม ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหัดท่ี 14 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1. 1331x3 1 4. 3x 53 729 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 2. 8x3 729y3 ............................................................................... 5. 1 a b3 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 3. 343x3 125y3 ............................................................................... ............................................................................... ............................................................................... 6. 82x y3 x 2y3 ............................................................................... ............................................................................... ............................................................................... ............................................................................... .............................................................................. ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขท่ี …… ใบงานท่ี 14 : การแยกตวั ประกอบของพหุนามดว้ ยวธิ ีการจดั พหุนาม แบบฝึ กหดั ท่ี 14 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามที่กาหนดใหต้ ่อไป 1. 16 81b4 4. a8 1 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 2. a6 b6 5. 125 8x6 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 3. 729 x6 6. 1000x6 125y6 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... .............................................................................. ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานท่ี 15 : การแยกตวั ประกอบของพหุนามดว้ ยวธิ ีการจดั พหุนาม คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1. x3 2x2 x 2 3. x3 2x 9x 18 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... .............................................................................. 2. x3 2x2 4x 8 4. x4 x3 x 1 ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... ............................................................................... 5. x3 3x2 6x 8 ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… 6. 8a3 54ab2 27b3 36a2b ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… ……………………………………………………………………………………………………………….……………… บทท่ี 2 การแยกตวั ประกอบของพหุนาม
ชื่อ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… ใบงานที่ 16 : การแยกตวั ประกอบของพหุนามโดยใชท้ ฤษฎีบทเศษเหลือ ทฤษฎบี ทเศษเหลอื ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… แบบฝึ กหดั ท่ี 16 คำชี้แจง : ใหน้ กั เรียนแยกตวั ประกอบของพหุนามท่ีกาหนดใหต้ ่อไป 1. x3 2x2 x 2 ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... 2. x3 2x2 4x 8 ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... 3. x3 2x2 9x 18 ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... บทที่ 2 การแยกตวั ประกอบของพหุนาม
ช่ือ …………………………………………………………………………. ช้นั ม.3/…… เลขที่ …… 4. x4 5x3 5x2 5x 6 ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... 5. x4 7x3 17x2 17x 6 ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... 6. x4 x3 x 1 ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... ........................................................................................................................................................................... บทท่ี 2 การแยกตวั ประกอบของพหุนาม
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