Polynomial Operations and Factoring Review

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor the trinomial:
x² - 4x - 12 

• (x - 6)(x - 2)

• (x - 8)(x + 2)

• (x - 6)(x + 2)

• (x + 6)(x - 2)

Factor the binomial:
9x² - 25

• (3x - 5)(3x + 5)

• (3x - 5)(3x - 5)

• (3x + 5)(3x + 5)

• (9x + 5)(x - 5)

Factor out the GCF:
12x²y⁵ - 18xy⁷

• 2xy⁵(6x - 9y²)

• 3y⁵(4x² - 6xy²)

• xy⁵(12x - 18y⁵)

• 6xy⁵(2x - 3y²)

4a(5a² - a + 4)

• 20a³ - 4a² + 16a

• 20a² - 5a + 8a

• 20a² + 4a² + 16a

• 20a³ +3a² + 16a

What factoring method should be used for the following polynomial?

15x² + 45x

• Grouping

• Difference of two squares

• GCF

• Sum of two cubes

What factoring method should be used for the following polynomial?

x² - 36

• GCF

• Grouping

• Difference of two squares

• Difference of two cubes

Perform the appropriate operation and simplify.

(2x² + 2x - 6) - (x² + 4x - 8 )

• x² + 6x - 14

• x² - 2x + 2

• x² + 2x

• ^{2x +2}

Factor: x² – 5x – 24

• (x - 5)(x + 19)

• (x - 8)(x + 3)

• (x - 3)(x + 8)

• (x - 19)(x + 5)

Factor: x² + 2x – 3

• (x - 2)(x + 1)

• (x + 1)(x - 3)

• (x + 2)(x - 1)

• (x - 1)(x + 3)