4.05 Factoring Polynomials and Sum/Diff of Cubes Practice

Factor the Polynomial

12x³ - 9x² + 4x - 3

• (3x² + 1) (4x - 3)

• (3x² - 1) (4x + 3)

• (4x² + 1) (3x - 3)

• (4x² - 1) (3x + 3)

Factor the Polynomial

3x³ - 4x² + 9x - 12

• (x² + 3) (3x - 4)

• (x² - 3) (3x + 4)

• (3x² + 3) (x - 4)

• (3x² - 3) (x + 4)

Factor the Polynomial

x³ - x² + 2x - 2

• (x² + 2) (x - 1)

• (x² - 2) (x + 1)

• (x² + 1) (x - 2)

• (x² - 1) (x + 2)

Factor the Polynomial

8x³ - 64x² + x - 8

• (8x² + 1) (x - 8)

• (8x² - 1) (x + 8)

• (x² + 1) (8x - 8)

• (x² - 1) (8x + 8)

Factor the Polynomial

2x³ + 5x² + 6x + 15

• (x² + 3) (2x + 5)

• (x² - 3) (2x - 5)

• (2x² - 3) (x - 5)

• (2x² + 3) (x + 5)

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)

Factor x³ – 2x – 4x² + 8 by grouping. Remember to look for Standard Form, then for common factors.

• x³ - 4x² - 2x + 8

• (x – 4)(x² – 2)

• (x – 2)(x² – 4)

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for Standard Form, then for common factors.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)

Factor 4y³ + y + 12y² + 3 by grouping. Remember to look for Standard Form, then for common factors.

• 4y²(y + 3) + 3

• 4y³ + 12y² + y + 3

• (4y² + 1)(y + 3)

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)