Factoring Review!

Box Method

100

x² + 7x + 12

(x+3)(x+4)

200

x² - 6x + 8

(x - 4)(x - 2)

300

51 - 20x + x²

(x - 3)(x - 17)

400

12x² + 7x + 1

(3x + 1)(4x + 1)

500

49x² - 14x + 1

(7x - 1)²

Quadratic Formula

100

x² - 4x + 3

(x - 3)(x -1)

200

x² - 7x - 8

(x - 8)(x + 1)

300

x² + 6x - 72

(x + 12)(x - 6)

400

x² - (1/2)x - 3/16

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

500

4x² - 8x + 3

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

GCF

100

2x - 6

2(x - 3)

200

x²y + 2xy - 3y

y(x + 3)(x - 1)

300

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

(x + 1)(3x - 4)

400

4a^x - x²a^x

a^x(2 - x)(2 + x)

500

9y³x² - 4yx⁴

yx²(3y - 2x)(3y + 2x)

Completing the Square

100

x² + 2x - 1 = 0

(x + 1)² = 2

200

x² + 8x + 1 = 0

(x + 4)² = 15

300

x² - 12x + 3 = 0

(x - 6)² = 33

400

x² + x - 8 = 0

(x + 1/2)² = 33/4

500

x² + 3x + 1 = 0

(x + 3/2)² = 5/4