Factoring Review

GCF

100

What is the GCF of -75 and 175?

25

200

What is the GCF of 14v³ , 6v² , 20v³

2v²

300

What is the GCF of 36y-24

12

400

8x³-4x²-16x

4x

500

What is the GCF of 24x⁸+6x⁵+9x²

3x²

Factor by Grouping

100

r³+r²+8r+8

(r²+8)(r+1)

200

2x²-10x+3x-15

(2x+3)(x-5)

300

6x⁴-24x³-5x+20

(6x³-5)(x-4)

400

5x³+10x²+x+2

(5x²+1)

500

56x³-7x²-8x+1

(7x²-1)(8x-1)

Perfect Square Trinomial

100

x²-6x+9

(x-3)²

200

y²-8y+16

(y-4)²

300

x²-18x+81

(x-9)²

400

z²-26z+169

(d+6)²

500

4x²+28x+49

(2x+7)²

Difference of two squares

100

x²-16

(x+4)(x-4)

200

True or False? Is 81-x² a difference of two squares?

True

300

x²-49

(x+7)(x-7)

400

4x²-81y²

(2x-9y)(2x+9y)

500

49x²-100y²

(7x+10y)(7x-10y)