FACTORING POLYNOMIALS

Factor Trinomials (a=1)

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: x²-11x+18

(x-9)(x-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: x²-6x-7

(x-7)(x+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factor Trinomials

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

(2x-2)(x-5)

Solve.

100

Solve (x+2)(x-9)=0

x=-2 or x = 9

200

Solve 6x² + 15x = 0.

x = 0 or x = -5/2

300

Solve x² - 7x - 18 = 0

x = 9 or x = -2

400

Solve 2x² = 20x

x = 0 or x = 10

500

Solve x² = 8x - 16

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)

Factoring Special Patterns

100

Factor x² - 81

(x - 9)(x + 9)

200

Factor x² + 10x + 25

(x+5)²

300

Factor x² - 14x + 49

(x - 7)²

400

Factor 4x² - 1

(2x+1)(2x-1)

500

Factor 9x² + 30x + 25

(3x + 5)²