Chapter 8 Review

Factoring by the GCF

100

Find the GCF of this Polynomial: 12x + 20

4

200

Find the GCF of this Polynomial: 8w² - 18w

2w

300

Find the GCF of this Polynomial: 4x³ + 12x² - 28x

4x

400

Factor Using the GCF: t² - 8t

t(t - 8)

500

Find the GCF of this Polynomial: 14x³ - 2x² + 8x

2x(7x² - x + 4)

Factor Completely

100

Factor Completely: 4x² + 5x

x(4x + 5)

200

Factor Completely: 3x³ + 5x² + 7x

x(3x² + 5x + 7)

300

Factor Completely: a²b + a⁴b2

a²b( 1 + a²b)

400

Factor Completely: 2x + 4y - 3x² - 6xy

(x + 2y)(2 + 3x)

500

Factor Completely: 5x - 25

5(x - 5)

Adding, Subtracting, and Multiplying Polynomials

100

Add 2x + 3x

5x

200

Add 3x² + 3x + 4x³ +2x

4x³ + 3x² + 5x

300

Simplify: (15x² + 12x) - (15x² - 12x)

24x

400

Simplify: 3x(x + 4)

3x² + 12x

500

Simplify: (4x - 1)(x + 1)

4x² + 3x - 1

Factoring when a<1

100

Factor: x² - 16

(x + 4)(x - 4)

200

Factor: x² + 6x + 9

(x + 3)²

300

Factor: x² + 8x + 15

(x + 3)(x + 5)

400

Factor: x² - x -12

(x - 4)(x + 3)

500

Factor: x² - 11x +30

(x - 6)(x - 5)

Factoring when a >1

100

Factor 2x² + 5x + 3

(x + 1)(2x + 3)

200

Factor 2n² - 7n -4

(2n + 1)(n - 4)

300

Factor: 4x² - 12x + 5 

(2x - 1)(2x - 5)

400

49x⁶ - 16

(7x³ + 4)(7x³ - 4)

500

Double Jeopardy!

Factor: 200m⁴ + 80m³ + 8m²

8m²(5m + 1)²