Algebra 2 Final Review: Factoring

Factor by finding GCF

100

2x-16

2(x-8)

200

3x²-6x

3x(x-2)

300

-5x⁶+10x⁸

-5x⁶(1-2x²)

400

12xy-24x²y²

12xy(1-2xy)

500

9xy-36x²y+18xy²

9xy(1-4x+2y)

Factor difference of two squares

100

x²-25

(x-5)(x+5)

200

4x²-9

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

300

81-16y²

(9-4y)(9+4y)

400

36x²-16y²

4(9x²-4y²)

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

500

625x²-100y²

25(25x²-4y²)

25(5x-2y)(5x+2y)

Factor perfect square trinomials

100

x²+4x+4

(x+2)²

200

x²-16x+64

(x-8)²

300

x²+10xy+25y²

(x+5y)²

400

4x²+4x+1

(2x+1)²

500

9x²+12xy+4y²

(3x+2y)²

Factor when a=1

100

x²+5x+6

(x+2)(x+3)

200

x²+3x-10

(x+5)(x-2)

300

x²-15x+56

(x-7)(x-8)

400

x²-x-90

(x+9)(x-10)

500

x²-18x+77

(x-7)(x-11)

Completely Factor

100

3x²y-2ab

prime

200

3x²-3y²

3(x²-y²)

=3(x-y)(x+y)

300

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

(x-5)(2x+3)

400

144x²-1

(12x+1)(12x-1)

500

-60+x²+4x

(x-6)(x+10)