Mixed Polynomial and Factoring Practice

Multiplying Polynomials

100

(2x + 2)(x + 5)

What is

2x² + 12x + 10

200

(7x + 2)(3x + 4)

What is

21x² + 34x + 8

300

(5x - 3)(3x + 2)

What is

15x² + x - 6

400

(x² - 8)(x² + 8)

What is

x⁴ - 64

500

(2x - 12)²

What is

4x² - 24x + 144

Factoring GCF

100

14r⁴ - 70r² + 21r

What is

7r(2r³ - 10r + 3)

200

2n² + 4n³ - 3n⁴

What is 

n²(2 + 4n - 3n²)

300

-18x² + 48x + 60

What is

6(-3x² + 8x + 10)

400

6x + 4 + x²

What is

PRIME!!!

500

30x⁴y⁶z² - 6x⁴y²z³ + 27x²y²z⁵ - 36xy⁴z

What is

3xy²z(10x³y⁴z - 2x³z² + 7xz⁴ - 12y²)

Factoring Common Binomials

100

x(x + 5) + 5(x + 5)

What is

(x + 5)²

200

24(3x - 1) + 12x(3x - 1)

What is

12(2 + x)(3x - 1)

300

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

What is

2(3x - 5)(x + 2)

400

(2r + 11)(x - 3) - (2r + 11)

What is

(2r + 11)(x - 4)

500

x⁵(x - 7) - 9x³(x - 7)

What is

x³(x - 7)(x² - 9)

Factoring by Grouping

100

12x² + 18x + 10x + 15

What is

(2x + 3)(6x + 5)

200

24x³ - 18x² + 60x - 45

What is

3(4x - 3)(2x² + 5)

300

6x³ - 6x² - 24x + 24

What is

6(x - 1)(x² - 4)

400

15x² - 6x + 5x - 2

What is

(5x - 2)(3x + 1)

500

10x² - 7x - 10x + 7

What is

(10x - 7)(x - 1)

Factoring by Grouping 2

100

5x³ - 10x² - 80x + 160

What is

5(x - 2)(x² - 16)

200

15x² + 21x + 25x + 35

(5x + 7)(3x + 5)

300

8x² - 6x + 12x - 9

(4x - 3)(2x + 3)

400

16x² - 10x + 8x - 5

(8x - 5)(2x + 1)

500

8x² - 3x - 8x + 3

(8x - 3)(x - 1)