FACTORING POLYNOMIALS

Factor by TRI

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)

Factor by AC

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: 6x² + x - 15

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

Factor by DOTS

100

Factor using DOTS:  x² - 81

(x-9)(x+9)

200

Factor using DOTS:  4x² - 25

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

300

Factor using DOTS:  9x⁴ - 49y⁶

(3x² + 7y³)(3x² - 7y³)

400

Factor using DOTS:  1 - 144x¹⁰

(1 + 12x⁵)(1 - 12x⁵)

500

Factor using DOTS: 121x⁸ - 64y⁴z²

(11x⁴ + 8y²z)(11x⁴ - 8y²z)

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)

Multi-Step Factoring

100

Factor using 2 methods:  2x² + 10x + 12

2(x+3)(x+2)

200

Factor using two methods:  x¹² - 81

(x⁶ + 9)(x³+3)(x³-3)

300

Factor using two methods:  75x⁴ - 3

3(5x² + 1)(5x² - 1)

400

Factor using two methods:  -2x³ +14x² -20x

-2x(x-5)(x-2)

500

Factor using two methods: 5x³ +20x² -60x

5x(x-2)(x+6)