Polynomials Review

Adding & Subtracting Polynomials

100

(4x + 9) + (x - 4)

What is 5x + 5

200

(-3a - 2) + (7a + 5)

What is 4a + 3

300

(x² +3x + 5) + (-x² +6x)

What is 9x + 5

400

(-x² - 5) - (-3x² - x - 8)

What is 2x² + x +3

500

(6k³ + k² - 4) - (5k³ - 3k² + 7k)

What is k³ + 4k² - 7k - 4

Factoring Using the GCF

100

Factor using the GCF: 

45x + 9

What is 9(5x + 1)

200

Factor using the GCF: 

8x² + 4x

What is 4x(2x + 1)

300

Factor using the GCF: 

12x - 18y

What is 6(2x - 3y)

400

Factor using the GCF: 

5x² - 20x + 10

What is 5(x² - 4x + 2)

500

Factor using the GCF: 

3x³ + 6x² + 27x

What is 3x(x² + 2x + 9)

Multiplying Binomials

100

(x + 1) (x - 1)

What is x² - 1

200

(x + 2) (x - 2)

What is x² - 4

300

(x + 3) (x - 3)

What is x² - 9

400

(x + 4) (x - 4)

What is x² - 16

500

(x + 5) (x - 5)

What is x² - 25

Factoring Difference of Squares

100

Factor x² - 36

What is (x + 6) (x - 6)

200

Factor x² - 49

What is (x + 7) (x - 7)

300

Factor 9x² - 144

What is (3x + 12) (3x - 12)

400

Factor 36x² - 225

What is (6x + 15) (6x - 15)

500

Factor 81x² - 289

What is (9x + 17) (9x - 17)

Factoring Trinomials

100

Factor x² + 4x + 4

What is (x + 2) (x + 2)

200

Factor x² + 10x + 25

What is (x + 5) (x + 5)

300

Factor x² + 7x + 12

What is (x + 3) (x + 4)

400

Factor x² + x - 20

What is (x + 5) (x - 4)

500

Factor x² + 3x - 28

What is (x + 7) (x - 4)