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-x-56

(x-8)(x+7)

Factoring Trinomials (a>1)

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: 2x²-11x+9

(x-1)(2x-9)

Factor by Grouping

100

Factor into two binomials: x³+3x²+2x+6

(x²+2)(x+3)

200

Factor into two binomials: x3+5x2+4x+20

(x²+4)(x+5)

300

Factor into two binomials: 2x³-6x²-5x+15

(2x²-5)(x-3)

400

Factor into two binomials: ax-ay+bx-by

(a+b)(x-y)

500

Factor into three binomials: x³-4x²-x+4

(x-1)(x+1)(x-4)

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(5a³-3b²)

Difference of Squares

100

Factor into two binomials: x²-81

(x-9)(x+9)

200

Factor into two binomials: 9x²-100

(3x-10)(3x+10)

300

Factor into two binomials: x¹²-49

(x⁶-7)(x⁶+7)

400

Factor into two binomials: 25x²-9y²

(5x-3y)(5x+3y)

500

Factor into three binomials: (16x⁴-1)

(4x²+1)(2x-1)(2x+1)