Factor Polynomials

Factor when a=1

100

Factor:

x² + 6x + 8

(x + 2)(X + 4)

200

Factor:

x² - 9x + 20

(x - 4)(x - 5)

300

Factor:

x² + x - 12

(x - 3)(x + 4)

400

Factor:

x² - 2x - 15

(x + 3)(x - 5)

500

Factor:

x² + 7x + 12

(x + 3)(x + 4)

Factor when a > 1

100

Factor:

2x² + 5x + 2

(2x + 1)(x + 2)

200

Factor:

3x² + 7x + 2

(3x + 1)(x + 2)

300

Factor:

2x² - 7x - 4

(2x + 1)(x - 4)

400

Factor:

4x² + 4x - 3

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

500

Factor:

2x² + 7x + 3

(x + 3)(2x + 1)

Perfect Square Trinomials

100

Factor:

x² + 10x + 25

(x + 5)²

200

Factor:

x² - 12x + 36

(x - 6)²

300

Factor:

4x² + 12x + 9

(2x + 3)²

400

Factor:

9x² - 30x + 25

(3x - 5)²

500

Factor:

9x² - 12x + 4

(3x - 2)²

Difference of Two Squares

100

Factor:

x² - 16

(x - 4) (x + 4)

200

Factor:

4x² - 9

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

300

Factor:

25x² - 1

(5x + 1) (5x - 1)

400

Factor:

9x² - 49

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

500

Factor:

x² - 49

(x + 7) (x - 7)

Greatest Common Factor

100

Factor out the GCF:

6x²y + 9xy² + 3x

3x (2xy + 3y² + 1)

200

Factor out the GCF:

8a³b - 12a²b² + 4ab

4ab (2a² - 3ab + 1)

300

Factor out the GCF:

10mn² + 15m²n - 5mn

5mn (2n + 3m - 1)

400

Factor out the GCF:

14x²y² - 21xy + 7xy²

7xy (2xy - 3 + y)

500

Factor out GCF:

4p²q + 6pq² - 2pq

2pq (2p + 3q - 1)