Cubic and other Factoring Patterns

Factor:
27x³ - 64

• (3x - 4)(9x² + 12x + 16)
• (3x - 4)(9x² - 12x + 16)
• (3x + 4)(9x² - 12x + 16)
• (3x + 4)(9x² + 12x + 16)

Factor:
x³ + 27

• (x + 3) (x² - 3x + 9)
• (x - 3) (x² + 3x + 9)
• (x + 3)(x + 9)
• Prime
  (can't be factored)

Tags

CCSS.HSA.APR.C.4

Factor:
8x³ - 125

• (2x + 5) (4x² - 10x + 25)
• (2x - 5) (4x² + 10x + 25)
• (4x - 5)(2x2 + 10x - 25)
• (4x - 5) (2x² + 10x - 25)
  (can't be factored)

Factor:
216x³+125

• 6(x+5)³
• (6x+5)³
• (6x+5)(6x²-30x+25)
• (6x+5)(36x²-30x+25)

Factor:
8x⁵-8x³+x²-1

• Prime
• (x+1)(x-1)(2x+1)(4x²-2x+1)
• (x+1)(x-1)(8x³ + 1)
• (x+1)(x-1)(2x+1)³

Factor:
63x⁴ - 7x² + 28x

• 7x(9x² - 7 + 4x)
• x(63x³ - 7x + 28)
• 7x(9x³ - x + 4)

Factor:
x³ + 7x² - 2x - 14

• (x² - 2)(x - 7)
• (x+√2)(x-√2)(x - 7)
• (x² + 2)(x + 7)
• (x+√2)(x-√2)(x + 7)

Factor:
4x²+16

• (2x-4)(2x+4)
• 4(x+2i)(x-2i)
• 4(x+2)²
• 4(x-2)(x+2)

Factor:

5x³ - 10x² + 3x - 6

• (5x² + 3)(x - 2)

• (5x² - 3)(x - 2)

• (5x³ + 3)(x - 2)

• 10x(x² - 6)

Factor:

4x³ + 8x² + 3x + 6

• (2x² + 3)(x + 2)

• (2x+√3)(2x-√3)(x+2)

• (4x² - 3)(x + 2)

• (2x+i√3)(2x-i√3)(x+2)