6.5 Quiz

Factor the sum of cubes:

x³ + 27

• (x + 3) (x² - 3x + 9)

• (x - 3) (x² + 3x + 9)

• (x + 3)(x + 9)

• Prime

  (can't be factored)

Factor completely (sum of cubes).

x⁶ + 64

• x³(x³ + 4)

• (x³+4)(x⁶ + 4x³ + 4)

• (x²+4)(x⁴ - 4x² + 16)

• Not here

Factor the sum of cubes.

27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor the difference of squares.

9x⁴ − 64

• (3x² − 8)(3x² + 8)

• (3x² − 4)(3x² + 4)

• (3x² − 8)²

• (3x² − 4)²

Factor by grouping.

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

Factor using AC method:

x⁴ − 7x² − 18

• (x + 3)²(x² − 2)

• (x − 3)²(x² + 2)

• (x² + 9)(x² − 2)

• (x − 3)(x + 3)(x² + 2)

Factor: 2x⁴ + x² − 10

• (x² + 5)(x − 2)(x + 2)

• (2x² − 5)(x² + 2)

• (2x² + 5)(x² − 2)

• (2x² + 5)(x − 2)(x + 2)

Factor the polynomial completely (GCF & grouping).

• A

• B

• C

• D

Factor completely: 
x⁴ + 4x² - 32

• (x - 4)(x + 8)
• (x² - 4)(x² + 8)
• (x - 2)(x + 2)(x + 4)(x + 4)
• (x - 2)(x + 2)(x² + 8)

2n³ + 7n² - 2n - 7

• cannot be factored
• (n - 1)²(2n + 7)
• (n² - 1)(2n + 7)
• (n + 1)(n - 1)(2n + 7)