Factoring Polynomials

Factor by Grouping:

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by Grouping:

3x³-x²+6x-2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the above

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by Grouping:

4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor by Grouping:

p⁴ - 3p³ - 16p² + 48p

• p² ( p - 3) (p - 3)

• (p³ - 16) (p - 3)

• (p + 4) (p - 4) (p - 3)

• (p³ - 16p) (p - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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:

4w⁴ + 16w² + 15

• (w² + 10)(w² + 6)

• (2w²+ 5)(2w² + 3)

• (w² + 15)(4w² + 1)

• (2w + 5)(2w + 3)

Tags

CCSS.HSA.APR.C.4

Factor by Grouping:   $x^3-5x^2-10x+50$  

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

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

•  $\left(x^2-10\right)\left(x-5\right)$  

• Can't Factor 

Factor by Grouping:   $6x^3+36x^2+x+6$  

•  $\left(6x^2+1\right)\left(x+6\right)$  

•  $6x^2\left(x+6\right)$  

•  $6x^2\left(x+6\right)^2$  

• Can't Factor

Written in factored form, the trinomial $2y^2+26y+80$  is equivalent to:

•  $2\left(y-5\right)\left(y-8\right)$  

•  $\left(2y+5\right)\left(y+8\right)$  

•  $2\left(y+5\right)\left(y+8\right)$  

•  $\left(y+5\right)\left(2y+16\right)$  

Factor Completely: 5x² - 11x + 6

• (5x + 6)(x - 1)

• (5x - 6)(x - 1)

• (2x - 7)(x - 3)

• (5x - 6)(x + 1)