Solving Quiz Review

Type of Factoring

100

27x⁵ - 24x⁴

GCF

200

1 - 144x²

DOTPS

300

x² - 6x - 16

Trinomial

400

3x² - 10x + 7

Tricky Trinomial

500

8 - 50x²

1. GCF

2. DOTPS

Solve for Roots (Factored Form)

100

(x + 8)(x + 2)

{-8, -2}

200

2(x - 3)(x + 7)

{-7, 3}

300

x(x + 5)

{-5, 0}

400

(2x - 1)(x + 3)

{-3, 1/2}

500

3x²(x - 8)(3x + 2)

{-2/3 , 0, 8}

Setting Equations Equal to Zero

100

-3x²+2x - 10 = -3x

-3x²+ 5x - 10 = 0

200

4x² + 8 = -5x

4x² + 5x + 8 = 0

300

4x² + 5x + 10 = 2x

4x² + 3x + 10 = 0

400

3x² + 5x = 2x² + 5

x² + 5x - 5 = 0

500

2x² + 2 + 5x = -4 - x

2x² + 6x + 6 = 0

Solve for Roots (Factoring)

100

x² + 9x + 8 = 0

(x + 1)(x + 8) 

{-8, -1}

200

x² + 5x = 0

x(x + 5)

{-5, 0}

300

x² - 25 = 0

(x - 5)(x + 5)

{-5, 5}

400

x² - x - 18 = -4x

x² + 3x - 18 = 0

(x + 6)(x - 3)

{-6, 3}

500

x² - x - 100 = -x

x² - 100 = 0

(x - 10)(x + 10)

{-10, 10}

Create Equation from Factors/Roots

100

f(x) = (x + 3)(x - 2)

f(x) = x² + x - 6

200

f(x) = x(x - 6)

f(x) = x² - 6x

300

{-4, -2}

(x + 4)(x + 2)

x² + 6x + 8

400

{-3, 3}

(x + 3)(x - 3)

x² - 9

500

{9}

(x - 9)(x - 9)

x² - 18x + 81