Factor Polynomials Algebra

Factor completely:

x²-4x-32

• (x - 8)(x + 4)

• (x - 4)(x - 32)

• (x + 3)(x - 4)

• (x + 2)(x - 6)

Factor completely:

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

When factored completely, which are factors of: x³ + 27

• (x + 3)

• (x - 3)

• (x² + 3x + 9)

• (x² - 3x + 9)

• (x² - 3x - 9)

Factor completely:

3x⁵ - 6x³ - 72x

• 3x(x² - 4)(x² + 6)

• 3x(x² + 4)(x² - 6)

• x(3x² + 9)(x² - 8)

• x(3x² - 9)(x² + 8)

Match each polynomial to its factored form.

• (8x - 1)(8x + 1)

• (x + 8)(x + 2)

• (x - 3)(3x + 5)

Match each polynomial with the correct label for factoring.

• Difference of

  Two Squares

• GCF Only

• Difference of

  Two Cubes

• Sum of

  Two Cubes

• Sum of Two Squares

Identify which polynomial is a sum of cubes and difference of cubes.

a

b

Difference of Cubes

Sum of Cubes

The GCF of 2x²-4x+8 is (a)   .

• 2x

• 2

• x

• 1