Factoring Review

GCF

100

5x+10

5(x+2)

200

3x² - 12x

3x(x - 4)

300

8a²b-4ab²

4ab(2a-b)

400

14x³y² - 21x²y

7x²y(2xy - 3)

500

15x²y - 10xy + 5x

5x(3xy - 2y + 1)

A = 1

100

x² +5x+6

(x+2)(x+3)

200

x² - 7x + 10

(x-5)(x-2)

300

x² - 2x - 24

(x-6)(x+4)

400

x² + 3x - 40

(x+8)(x-5)

500

x² - 13x - 30 

(x-15)(x+2)

Multi-Step

100

2x² + 4x - 6 

2(x-1)(x+3)

200

5x² - 20x - 60 

5(x-6)(x+2)

300

-2x² + 16x - 30

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

400

3x³ - 27x

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

500

3x² - 30x + 75

3(x-5)²

A≠1

100

2x² + 5x + 3

(2x+3)(x+1)

200

3x² + 10x + 8 

(3x+4)(x+2)

300

5x² - 14x - 3 

(5x+1)(x-3)

400

6x² + 7x - 5 

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

500

4x² - 15x + 9 

(4x-3)(x-3)

Special Cases

100

x² - 16

(x+4)(x-4)

200

4x² - 25

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

300

x² + 16x + 64

(x+8)²

400

x² - 20x + 100

(x-10)²

500

9x² - 24x + 16

(3x-4)²