Factoring Polynomials Mixed Practice

Factor completely:
x³+7x²-2x-14

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor completely:

2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Factor Completely:

3x⁴ + 3x³ - 12x² - 12x

• $x\left(3x^2-12\right)\left(x+1\right)$

• $3x\left(x^2-4\right)\left(x+1\right)$

• $3x(x+2)(x-2)(x+1)$

• $\left(3x^3-12x\right)\left(x+1\right)$

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: 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

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

343x³ - 27

• (7x² - 3)(7x+3)

• (7x - 3)(7x² + 21x + 9)

• (7x - 3)(49x² - 21x + 9)

• (7x - 3)(49x² + 21x + 9)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

256x⁴ - 81

• (16x² + 9)(16x² - 9)

• (16x² + 9)(4x + 3)(4x - 3)

• (4x² + 9)(4x² - 9)

• (16x² + 9)(2x + 6)(2x -6)

Tags

CCSS.HSA.APR.C.4

30x³+15x²-18x-9

• $\left(15x^2-9\right)\left(2x+1\right)$

• $\left(5x^2-3\right)\left(6x+3\right)$

• $3\left(5x^2+3\right)\left(2x-1\right)$

• $3\left(5x^2-3\right)\left(2x+1\right)$

Factor  $x^{10}-2x^5-8$  

•  $\left(x+2\right)\left(x-4\right)$  

•  $\left(x^{10}-4\right)\left(x^5+2\right)$  

•  $\left(x^5-4\right)\left(x^5+2\right)$  

•  $\left(x^5+3\right)\left(x^5-5\right)$