Algebra II Test Review

Regular Factoring

100

x² + 5x 

x(x + 5)

200

3x³ + 9x²

3x²(x + 3)

300

x² - 2x + 1 

(x - 1)²

400

5x² - 25x + 30 = 0

5(x - 2)(x - 3)

500

3x² + 112 = 2x² + 22x

(x - 14)(x - 18)

AC Method Factoring

100

2x² – 11x + 5

(x – 5) (2x – 1)

200

2x² - 15x + 18 

(x - 6)(2x - 3)

300

9x² - 12x + 4

(3x - 2)²

400

25x² = 20x - 4

(5x - 2)²

500

12x² + 17x = 5

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

Difference of Squares Factoring

100

x² - 4

(x + 2)(x - 2)

200

x² - 81

(x + 9)(x - 9)

300

x² = 100

(x + 10)(x - 10)

400

9x² - 25y²

(3x - 5y)(3x + 5y)

500

2a²b - 32a⁴b

2a²b(1 - 4a)(1 + 4a)

Factored to Vertex From

100

(x - 3)(x - 5)

(x - 4)² - 1

200

-(x - 8)(x - 6)

-(x - 7)² + 1

300

-3x(x - 2)

-3(x - 1)² + 3

400

(x + 3)(x + 7)

(x + 5)² - 4

500

2(x + 9)(x + 5)

2(x + 7)² - 8

Vertex to Factored Form

100

-(x + 4)²

-(x + 4)²

200

-(x - 2)² + 4

-x(x - 4)

300

(x - 1)² - 25

(x - 6)(x + 4)

400

(x - 6)² - 1

(x - 7)(x - 5)

500

-(x + 3)² + 16

-(x + 7)(x - 1)