Factoring Review

GCF

100

3x²+3x-24

3(x²+x-8)

200

2x³-12x²+8x+2

2(x³-6x²+4x+1)

300

15x⁴+20x³-30x²+25x

5x(3x³+4x²-6x+5)

400

6x²y+4xy²-2xy

2xy(3x+2y-1)

500

8x⁴y+4x³y-18x²y²

2x²y(4x²+2x-9y)

Difference of Squares

100

x²-4

(x+2)(x-2)

200

9x²-36

(3x+6)(3x-6)

300

1-16x²

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

400

81x⁴-25x²

(9x²+5x)(9x²-5x)

500

12x²y-75y

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

Trinomials when a=1

100

x²-13x+30

(x-10)(x-3)

200

x²-8x-65

(x-13)(x+5)

300

x²+6x+9

(x+3)(x+3)

400

x²+8x-84

(x+14)(x-6)

500

x³+9x²-52x

x(x+13)(x-4)

Trinomials when a=/=1

100

9x²-12x+4

(3y-2)(3y-2)

200

8x²+2x-3

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

300

10x²+13x-3

(2x+3)(5x-1)

400

8x⁴-4x³-24x²

4x²(x-2)(2x+5)

500

8x³y+38x²y-10xy

2xy(x+5)(4x-1)

Grouping

100

x³+4x²+8x+32

(x²+8)(x+4)

200

x³-x²-3x+3

(x²-3)(x-1)

300

3x³-21x²+4x-28

(3x²+4)(x-7)

400

x³+x²y+xy+y²

(x²+y)(x+y)

500

4x²y-8xy-3x+6

(4xy-3)(x-2)