Factoring Review

Factor completely (Hint: Grouping): x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor (Hint: Perfect Cubes): 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Factor Completely (Hint: GCF & Grouping): 3x⁴ + 3x³ - 12x² - 12x

• 3x(x³ + x²- 4x - 4)

• 3x(x²-4)(x+1)

• 3x(x+2)(x-2)(x+1)

• 3x(x²+4)(x-1)

Factor (Hint: Perfect Cubes):  27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor Completely (Hint: Magic X)

5x²-28x+32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Factor Completely (Hint: Change into Quadratic Form):

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Factor Completely (Hint: Perfect Cubes):

343x³ - 27

• (7x² - 3)(7x+3)

• (7x - 3)(7x² + 21x + 9)

• (7x - 3)(49x² - 21x + 9)

• (7x - 3)(49x² + 21x + 9)