Factoring and Solving Quadratics (& Some Cubics)

Factoring "Easy" Trinomials

100

x² + 5x + 6

(x+2)(x+3)

200

x² - 5x - 6

(x-2)(x-3) 

300

3x² - 3x - 18

3(x+2)(x-3)

400

2x³ + 2x² - 12x

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

Factoring Binomials

100

100x² - 9

(10x+3)(10x-3)

200

15x² + 3x

3x(5x+1)

300

4x² - 16x

4x(x-4)

400

4x² - 100

4(x+5)(x-5)

Factoring "Hard" Trinomials

100

5x² + 13x + 6

(5x+3)(x+2)

200

6x² - 5x - 4

(2x+1)(3x-4)

300

10x² - 35x + 30

5(2x-3)(x-2)

400

24x³ + 52x² - 20x

4x(3x-1)(2x+5)

Solving Binomials

100

x² - 64 = 0

x = 8, -8

200

x² - 9x = 0

x = 0, 9

300

9x² = -36

x = 0, -4

400

8x³ = 2x

x = 0, 1/2 , -1/2

Solving Trinomials

100

x² + 8x = 20

x = -10, 2

200

4x² + 16x = -15

x = -3/2, -5/2

300

6x² = 30x + 84

x = 7, -2

400

12x³ = 16x² - 4x

x = 0, 1, 1/3