FACTORING

Factoring Trinomials a=1

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

n²+13n+40

(n+8)(n+5)

400

x² - x - 6

(x - 3)(x+2)

500

x² + x - 90

(x + 10)(x - 9)

Factor Special Cases

100

x² - 4

(x + 2)(x- 2)

200

x² - 25

(x + 5)(x - 5)

300

x² - 81

(x + 9)(x - 9)

400

9x² - 36

(3x + 6)(3x - 6) or 

9(x + 2)(x - 2)

500

49x² - 1

(7x + 1)(7x - 1)

Expand/Distribute

100

-5(x - 3)

-5x + 15

200

-3(x² - 3x + 6)

-3x² + 9x - 18

300

(x - 2)(x + 8)

x² + 6x - 16

400

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

6x² -13x - 5

500

(x + 1)(x² - 3x + 2)

x³ + 2x² - x + 2

Factor by GCF

100

2x² + 6x - 8

2(x+4)(x-1)

200

3x² + 15x - 42

3(x-2)(x+7)

300

4x² + 24x + 20

4(x+1)(x+5)

400

5x² + 90x + 405

5(x+9)(x+9) or 5(x+9)²

500

-x² + 11x - 30

-(x - 6)(x - 5) or -1(x - 6)(x - 5)

Binomials

100

2x - 4

2(x - 2)

200

5x + 30

5(x + 6)

300

18x⁵ - 27x⁴

9x⁴(2x - 3)

400

15ab³ - 20a³b

5ab(3b² - 4a²)

500

-24a - 72a²

-24a(1 + 3a)