Factoring Jeopardy

GCF

100

8a - 16

8(a - 2)

200

2x² + 14x

2x(x + 7)

300

25z² - 125xz

25z

400

9x³ - 45xy + 9y

9(x³ - 5xy + y)

500

-15x²y + 5xy

5xy(-3x + 1)

Factoring a=1

100

x² + 8x + 12 

(x + 2)(x + 6)

200

x² + 8x + 16

(x + 4)(x + 4)

300

x² - 6x + 8

(x - 4)(x - 2)

400

x² - 10x - 24 

(x - 12)(x + 2)

500

x² - 14x - 72

(x - 18)(x + 4)

Factoring a > 1

100

3x² +8x+ 5

(3x + 5)(x + 1)

200

2x² +9x+ 10

(2x + 5)(x + 2)

300

10x² +x - 3

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

400

16x² +31x - 2

(16x - 1 )(x + 2 )

500

8x² - 19x+ 6

(8x - 3)(x - 2)

Difference of Squares

100

x² - 25

(x - 5)(x + 5)

200

x² - 4

(x+2)(x-2)

300

x² - 100

(x - 10)(x + 10)

400

81x² - 1

(9x - 1)(9x + 1)

500

9x² - 4

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

Multi-Step Factoring

100

36x² - 9

9(2x + 1)(2x - 1)

200

3x² - 121

3(x - 11)(x + 11)

300

2x² +20x+ 50

2(x + 5)(x + 5)

400

3x² - 15x + 12

3(x - 4)(x - 1)

500

3x³ + 30x² + 63x

3x(x + 7)(x + 3)