Factoring Quadratics Review

GCF

100

Factor out the GCF.

10x - 5

5(2x - 1)

200

Factor out the GCF.

12x² + 24x⁵

12x²(1 + 2x³)

300

Factor out the GCF.

36x⁴ - 42x²

6x²(6x² - 7)

400

Factor out the GCF.

15x³y² - 10xy

5xy(3x²y - 2)

500

Factor out the GCF.

18x⁴y⁵ + 36x³y⁷

18x³y⁵(x + 2y²)

Factoring - Level 1

100

Factor.

x² + 9x + 20

(x + 5)(x + 4)

200

Factor.

x² - 4x - 12

(x - 6)(x + 2)

300

Factor.

x² - 5x + 6

(x - 2)(x - 3)

400

Factor.

6x² + 42x - 48

6(n - 1)(n + 8)

500

Factor.

4x² - 20x - 96

What is 

4(k - 3)(k + 8)

Factoring - Level 2

100

Factor.

2x² + 7x + 3

(2x + 1)(x + 3)

200

Factor.

3x² + 10x + 8

(3x + 4)(x + 2)

300

Factor.

9x² + 12x + 4

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

OR

(3x + 2)²

400

Factor.

-12n² + 45n + 162

What is -3(n - 6)(4n + 9)

500

Factor.

16m² + 38m + 12

2(m + 2)(8m + 3)

Perfect Squares and cubes

100

Factor

4x² - 1

What is (2x+1)(2x-1)

200

Factor

9r² - 25

What is (3r+5)(3r-5)

300

Factor

100n² - 16

4(5n+2)(5n-2)

400

Factor

 27x³ + 125

What is (3x +5)(9x² - 15 + 25)

500

Factor

64x³ - 27y³

(4x - 3y)(16x² + 12xy +9y²)

Grouping

100

Factor 

7a³ +2a²+42a+12

What is (a²+6)(7a+2)

200

Factor

 5p³ + 10p² -7p -14

What is (5p² - 7)(p + 2)

300

Factor

16a³ - 6a² - 8a +3

What is (2a² - 1) (8a - 3)

400

Factor

180p³-30p²+216p-36

What is 6(5p² + 6) (6p - 1)

500

Factor

8m³ + 32m² - 8m -32

What is 8(m-1)(m+1)(m+4)