Factoring Practice!

GCF

100

2x - 8

2(x - 4)

200

x² + 7x

x (x + 7)

300

4x² + 4y²

4(x² + y²)

400

3x³ - 6x² + 9x

3x(x² - 2x + 3)

500

14x⁴ - 7x³ + 21x² + 14x - 49

7(2x⁴ - x³ + 3x² + 2x - 7)

DOTS

100

x² - 9

(x + 3)(x-3)

200

x² - y²

(x + y)(x - y)

300

25x² - 49y²

(5x - 7y)(5x + 7y)

400

100x² - 36y²

(10x - 6y)(10x + 6y)

500

4x² + 9y²

Prime!! Can not be factored!!!

Trinomials

100

x² + 10x + 21

(x + 7)(x + 3)

200

x² - 6x - 40

(x - 10) (x + 4)

300

x² - x - 42

(x - 7)(x + 6)

400

x² + 4x - 5

(x + 5)(x - 1)

500

x² - 9x - 10

(x - 10)(x +1)

Trinomial with a>1

100

3x² - 2x - 5

(3x - 5)(x + 1)

200

2x² + 3x - 9

(2x - 3)(x + 3)

300

3x² - 8x + 4

(3x - 2)(x - 2)

400

5x² + 19x + 12

(5x + 4)(x + 3)

500

2x² + 11x + 5

(2x + 1)(x + 5)

Factor Completely

100

2x² - 18

2(x-3)(x+3)

200

2x² + 4x - 6

2(x+3)(x-1)

300

3x² - 75

3(x-5)(x+5)

400

x³-16x

x(x+4)(x-4)

500

x⁴ - 16

(x + 2)(x - 2) (x² + 4)