Factoring Polynomials

GCF

100

6x + 8

Factored form is

2 (3x + 4)

200

4x² + 12x

Factored form is

4x (x + 3)

300

3x² + 6x + 12xy

Factored form is

3x (x + 2 + 4y) 

400

15x + 5y - 20

Factored form is

5 (3x + y - 4)

500

2x²y + 8xy - 14xy²

Factored form is

2xy (x + 4 - 7y)

Trinomials - Level 1

100

x² + 3x + 2 

Factored form is

(x + 1) (x + 2)

200

x² + 7x + 10

Factored form is

(x + 5) (x + 2)

300

x² + 9x + 20

Factored form is

(x + 5) (x + 4)

400

x² + 17x + 72

Factored form is

(x + 9) (x + 8)

500

x² + 15x + 36

Factored form is

(x + 12) (x + 3)

Trinomials - Level 2

100

x² - 8x + 12

Factored form is

(x - 6) (x - 2)

200

x² + 3x - 10

Factored form is

(x + 5) (x - 2)

300

x² - 7x - 18

Factored form is

(x - 9) (x + 2)

400

x² - 15x + 50

Factored form is

(x - 10) (x - 5)

500

x² - 30x - 64

Factored form is

(x - 32) (x + 2)

Difference of Perfect Squares

100

x² - 16

Factored form is

(x - 4) (x + 4)

200

x² - 49

Factored form is

(x + 7) (x - 7)

300

x² - 64

Factored form is

(x - 8) (x + 8)

400

9x² - 4

Factored form is

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

500

25x² - 81

Factored form is

(5x + 9) (5x - 9)

Challenge

100

36x² + 16

Factored form is

4 (9x² + 4)

200

25x² + 9

Can't factor

300

36x² - 4

Factored form is

4 (3x - 1) (3x + 1)

400

64x² - 100

4 (4x - 5) (4x + 5)

500

2x² + 12x + 10

2 (x + 5) (x + 1)