Factoring Polynomials

Factor Completely:

x² - 17x + 72

• (x - 9)(x + 8)

• (x - 9)(x - 8)

• x(x - 3)

• (x + 9)(x + 8)

Factor Completely:

x² - 7x - 8

• (x + 1)(x - 8)

• (x + 1)(x + 8)

• 5(x + 4)(x + 5)

• (x - 1)(x + 8)

Factor Completely:

x⁴ - 9x²

• x²(x + 3)(x - 3)

• (x² + 3x)(x² - 3x)

• (x² + 9)(x - 3)(x + 3)

• x²(x² - 9)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

4k² + 24k + 36

• (2k + 6)²

• (2k - 6)²

• (2k - 6)(2k + 6)

• 4(k + 3)²

Tags

CCSS.HSA.APR.C.4

Factor Completely: 5x² - 11x + 6

• (5x + 6)(x - 1)

• (5x - 6)(x - 1)

• (2x - 7)(x - 3)

• (5x - 6)(x + 1)

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Factor by Grouping:

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)

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: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4