Factoring Questions

Factor by GCF:

3x³ - 15x² + 27x

• 3x(x² - 5x + 9)

• 3(x³ - 5x² + 9x)

• 3x²(x - 5 + 9)

• 3x³(x - 5 + 9)

Factor by GCF:

8x + 12

• 2(4x + 6)

• 4(2x + 12)

• 4(2x + 3)

• 8(x + 12)

Factor by GCF:

24x² - 12x + 30

• 2(12x² - 6x + 15)

• 4(6x² - 3x + 7)

• 6(4x² - 2x + 5)

• 6x(4x - 2 + 5)

Factor by GCF:

16x² - 40x

• 4(4x² - 10x)

• 4x(4x - 10)

• 8(2x² - 5x)

• 8x(2x - 5)

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

Match each polynomial with the correct label for factoring.

• Difference of

  Two Squares

• Difference of

  Two Cubes

• Sum of

  Two Cubes

• GCF Only

• Sum of Two Squares

Factor by GCF:

4x⁵ - 9x³ + 2x²

• 2x²(2x³ - 4x + 1)

• x²(4x³ - 9x + 2)

• x⁵(4 - 9x² + 2x³)

• 2(2x⁵ - 4x³ + x²)

Factor by GCF: 14x³ + 21x² + 7x

• 7x(2x² + 3x + 1)

• 7(2x³ + 3x² + x)

• x(14x² + 21x + 7)

• 7x(2x² + 3x)