Algebra Polynomials and Factoring Review

Factor 8x³ + 18x.

• 2x(4x² + 9)

• 8x(x² + 10)

• 2(4x³ + 9x)

• 8(x³ + 10x)

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor
3x² + 5x - 12.

• (x + 3)(3x - 4)

• (3x + 4)(x - 3)

• (3x + 3)(x - 4)

• (3x - 3)(x + 4)

Factor 25x² - 81.

• (5x -  9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• cannot be factored

• A

• B

• C

• D

• A

• B

• C

• D

• In Step 1 because the expression inside the parentheses needs to have a sum of -11x, not 11x.

• In Step 2 because the sign on x should be negative and the sign on 2 should be positive.

• In Step 3 because there is no need to multiply (x-2) by 1.

• In Step 4 because (x-2) should be written first.

• A

• B

• C

• D

What are the factors of this polynomial?

• (x - 2)(x + 1)

• (x - 2)(x - 1)

• (x + 2)(x + 1)

• (x + 2)(x - 1)

Match each polynomial to its factored form.

• (x - 3)(3x + 5)

• (x + 8)(x + 2)

• (8x - 1)(8x + 1)