Factoring Polynomials Mixed Review

Factor the binomial:
9x² - 25

• (3x - 5)(3x + 5)

• (3x - 5)(3x - 5)

• (3x + 5)(3x + 5)

• (9x + 5)(x - 5)

Factor Completely:  6x² + 5x - 6

• 6(x + 1)(x - 6)

• (6x + 6)(x - 1)

• (2x - 3)(3x + 2)

• (3x - 2)(2x + 3)

Factor out the GCF:
9x⁴y - 24x²

• 9x²y(x² - 3)

• 3x³(3xy - 8)

• 3x²(3x²y - 8)

• x²(9x²y - 24)

Factor the Polynomial 2x³ + 5x² + 6x + 15

• (x² + 3) (2x + 5)

• (x² - 3) (2x - 5)

• (2x² - 3) (x - 5)

• (2x² + 3) (x + 5)

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Match each polynomial with the correct label for factoring.

• Difference of

  Two Cubes

• Sum of

  Two Cubes

• Difference of

  Two Squares

• Sum of Two Squares

• GCF Only

Factor: 2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)