Multiplying Polynomials/GCF Review

Classifying Polynomials

100

Classify: x³+2x

Cubic binomial 

200

Classify: x²+5x+11

Quadratic trinomial 

300

Classify: 3y⁴

Quartic monomial

400

Classify: x+7

Linear binomial

500

Classify: 3x⁷+4x³+2x-8

7th degree polynomial

Distributive Property Level 1

100

Simplify using the distributive property: 4x(8x + 7)

32x² + 28x

200

Simplify using the distributive property: 3x⁴(7x³ + 5x)

21x⁷ + 15x⁵ 

300

Simplify using the distributive property: -6(4x+20)

-24x - 120

400

Simplify using the distributive property: -11(x³-20x-7)

-11x³ - 220x + 77

500

Simplify using the distributive property: -(2x - 7)

-2x + 7

Distributive PropertyLevel 2

100

(x+3)(x-5)

x² - 2x - 15

200

(x-8)(x-5)

x² - 13x + 40

300

(x+1)(x³+2x²-5)

x⁴ + 3x³ + 2x² - 5x - 5

400

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

4x² - 9

500

(5x+1)²

25x² + 10x + 1

GCF

100

FACTOR using the GCF: 36x + 39

3(12x + 13)

200

FACTOR using the GCF:12x + 30

6(2x + 5)

300

FACTOR using the GCF: 16x² + 40x

8x(2x + 5)

400

FACTOR using the GCF: 77x² + 21x - 49

7(11x² + 3x - 7)

500

FACTOR using the GCF: 39x⁷ + 18x⁵

3x⁵(13x² + 6)

Mixed

100

Simplify: 5x + 7x

12x

200

Factor: 48x + 12

12(4x + 1)

300

Factor: 8x⁴ - 2x³ + 4x²

2x²(4x² - x + 2)

400

Simplify:3(y + 2x)

3y + 6x 

500

Simplify: 6(2 + 9x - 4y)

12 + 54x - 24y