Factoring Polynomials (Grouping and Sum/Difference of Cubes)

Which number is both a perfect square and a perfect cube?

• 64

• 27

• 81

• 16

Tags

CCSS.6.EE.A.1

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Tags

CCSS.6.EE.A.2C

Complete the formula

a³+b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Tags

CCSS.6.EE.A.2C

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)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:   x³ + 1

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

Tags

CCSS.HSA.APR.C.4

Factor the difference of cubes.

x³ - 125

• (x + 5)(x² - 5x + 25)

• (x + 5)(x - 5)

• (x - 5)(x² + 5x + 1)

• prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

27x³ - 1

• (3x - 1)(9x² + 3x + 1)
• (2x - 1)(4x² + 2x + 1)
• (3x - 2)(9x² + 6x + 4)
• (4x + 1)(16x² + 4x + 1)

Tags

CCSS.HSA.APR.C.4

125x³ - 64

• (5x - 4)(25x² + 20x + 16)
• (5x + 2)(25x² - 10x + 4)
• (3x - 1)(9x² + 3x + 1)
• (4x - 3)(16x² + 12x + 9)

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fully Factor the Following
216x³+125

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

Tags

CCSS.HSA.APR.C.4