Factoring Quadratic Expressions

Factoring (a = 1)

100

Factor: x² + 8x + 12

(x + 6)(x + 2)

200

Factor: m² - 11m + 18

(m - 9)(m - 2)

300

Factor: x² - x - 30

(x + 5)(x - 6)

400

Factor: y² - 19y + 90

(y - 10)(y - 9)

500

Factor: x² - 23x - 78

(x - 26)(x + 3)

Factoring (a > 1)

100

Factor: 2x² + 7x + 3

(2x + 1)(x + 3)

200

Factor: 5n² + 26n + 5

(5n + 1)(n + 5)

300

Factor: 3x² - 10x + 7

(3x - 7)(x - 1)

400

Factor: 7x² - 36x + 5

(7x - 1)(x - 5)

500

Factor: 2x² - 12x + 10

2(x - 1)(x - 5)

Factoring (Mixed review)

100

Factor: 3x² + 12x

3x(x + 4)

200

Factor: -4x² - 10x

-2x(2x + 5)

300

Factor: 8x² - 18

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

400

Factor: -4x³ + 12x² + 16x 

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

500

Factor: -9x² + 49

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

Factoring (multiple variables)

100

Factor: 2d²e² - de - 6

(2de + 3)(de - 2)

200

Factor: -3x²y + 21xy - 36y

-3y(x - 4)(x - 3)

300

Factor: -5x³y + 38x²y + 16xy

-xy(5x + 2)(x - 8)

400

Factor: -400x²y + 36y

-4y(10x - 3)(10x + 3)

500

Factor: 84a³b+ 112a²b - 21ab

7ab(6a - 1)(2a + 3)

Find the GCF.

100

3x² + 12x

3x

200

-14x² + 2x⁵

-2x² 

300

-18x³v + 24x²v - 12xv

-6xv

400

-15x²y- 100xy + 5y

-5y

500

-10x⁵yz⁴ + 30x⁷yz² + 26x³yz³

-2x³yz²