FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials- x²+8x+12

(x+6)(x+2)

200

Factor into two binomials- m²-11m+18

(m-9)(m-2)

300

Factor into two binomials- x²+5x-24

(x+8)(x-3)

400

Factor into two binomials- y²-6y-7

(y-7)(y+1)

500

Factor into two binomials- x²-13x-30

(x+2)(x-15)

Factoring trinomials- harder

100

Factor into two binomials- 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials- 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials- 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials- 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials- 2x²-12x+10

2(x-1)(x-5)

Factor by Grouping

100

2bx+2x-2by-2y

2(x-y)(b+1)

200

x²y-x²-36y+36

(x-6)(x+6)(y-1)

300

24x³-6x²+28x-7

(6x²+7)(4x-1)

400

18x³+3x²+6x+1

(3x²+1)(6x+1)

500

3x³-5x²-12x+20

(x-2)(x+2)(3x-5)

FACTOR BY GCF

100

Factor by GCF- 14n²+10n

2n(7n+5)

200

Factor by GCF- 18x³-6x

6x(3x²-1)

300

Factor by GCF- 8-4a²

4(2-a²)

400

Factor by GCF- 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF- 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

PERFECT SQUARE/ DIFF OF SQUARES

100

x²-36

(x+6)(x-6)

200

x²+16

Cannot be factored

300

x²+12x+36

(x+6)²

400

4x²-16x+16

4(x-2)²

500

16y⁴-8y²+1

(2y-1)(2y+1)(2y+1)(2y-1)