4.4 Factor Polynomials

Quadratics

100

Factor completely x²+4x+3

(x+3)(x+1)

200

Factor completely x²-5x+6

(x-2)(x-3)

300

Factor completely x²+7x-18

(x+9)(x-2)

400

Factor completely 3x²+14x+8

(3x+2)(x+4)

500

Factor completely 6x²+x-12

(3x-4)(2x+3)

GCF

100

Factor completely x³+8x²+7x

x(x+1)(x+7)

200

Factor completely 4x⁴+36x³+56x²

4x²(x+2)(x+7)

300

Factor completely 2x⁶+13x⁵+15x⁴

x⁴(2x+3)(x+5)

400

Factor completely 2x⁸-50x⁶

2x⁶(x-5)(x+5)

500

Factor completely 2x⁴-16x

2x(x-2)(x²+2x+4)

Special Products

100

Factor completely x²-64

(x+8)(x-8)

200

Factor completely 25x²-9

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

300

Factor completely 16x⁴-1

(4x²+1)(2x+1)(2x-1)

400

Factor completely x³-8

(x-2)(x²+2x+4)

500

Factor completely 27x³+64

(3x+4)(9x²-12x+16)

Cubics and Quartics

100

Factor completely x³-2x²-5x+6

(x-1)(x+2)(x-3)

200

Factor completely x³+x²-14x-24

(x+2)(x+3)(x-4)

300

Factor completely x⁴-x³-10x²-8x

x(x+1)(x+2)(x-4)

400

Factor completely x⁴-x³-7x²+16

(x+1)(x-1)(x+2)(x-3)

500

Factor completely x⁴-13x²+36

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