Factoring and Solving Quadratics

Multiplying Binomials

100

(x+3)(x+1)

x² + 4x + 3

200

(x + 7)(x + 5)

x² + 12x + 35

300

(x - 5)(x - 6)

x² - 11x + 30

400

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

6x² - x - 15

500

(-3x + 8)(2x - 7)

-6x² - 5x - 56

a=1

100

x² + 5x + 6

(x + 2)(x + 3)

200

x² + 8x + 12

(x + 6)(x + 2)

300

x² - 2x - 24

(x + 4)(x - 6)

400

x² - 10x + 21

(x - 7)(x - 3)

500

x² + x - 56

(x + 8)(x - 7)

a>1

100

2x² + 11x + 12

(2x + 3)(x + 4)

200

4x² + 16x + 15

(2x + 3)(2x + 5)

300

6x² + 5x - 6

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

400

3x² - 9x - 30

3(x + 2)(x - 5)

500

12x² + 10x + 2 

2(2x + 1)(3x + 1)

Mixed Factoring

100

x² + 7x + 12

(x + 3)(x + 4)

200

x² - x - 12

(x - 4)(x + 3)

300

x² - 25

(x + 5)(x - 5)

400

10x² + 19x + 6 

(2x + 3)(5x + 2)

500

3x² + 33x + 90

3(x + 6)(x + 5)

Solving Quadratic Equations

100

x² - 3x + 2 = 0

x = 1, x = 2

200

x² + 5x + 6 = 0 

x = -3, x = -2

300

x² -7x + 18 = 0 

x = 9, x = -2

400

x² + 6x = -8

x = -4, x = -2

500

6x² -3x - 3 = 0

x = -1/2, x = 1