IM3 Factoring Quadratics Review

a=1

100

x²+7x+6

(x+6)(x+1)

200

x²-7x+12

(x-3)(x-4)

300

x²-121

(x-11)(x+11)

400

x²+x+4

PRIME

500

x²-13x-68

(x-17)(x+4)

a>1

100

2x²+7x+3

(2x+1)(x+3)

200

6x²-x-1

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

300

4x²-9

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

400

5x²+6x-8

(5x-4)(x+2)

500

8x²-2x-3

(4x-3)(2x+1)

GCF

100

4x³+100x

4x(x²+25)

200

a³b-a²b⁵

a²b(a-b⁴)

300

16x⁵-20x³+24x

4x(4x⁴-5x²+6)

400

60x²y+42xy²

6xy(10x+7y)

500

a³b²-ab²

ab²(a+1)(a-1)

Grouping

100

x³+x²-3x-3

(x²-3)(x+1)

200

2x³-6x²+7x-21

(2x²+7)(x-3)

300

36x³+48x²+3x+4

(12x²+1)(3x+4)

400

a²b-2a²+3b-6

(a²+3)(b-2)

500

2x³+4x²-6x-12

2(x²-3)(x+2)

Multi-step

100

x³-5x²+6x

x(x-3)(x-2)

200

25x²-100x-125

25(x+1)(x-5)

300

x³+x²-4x-4

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

400

45x²-60x+15

15(3x-1)(x-1)

500

x⁴+2x³-x²-2x

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