BC AP PreCalc Factoring Skills Check

Factor completely:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor completely:  

 $4x^2-64y^{2\ }$  

•  $4\left(x+16y\right)\left(x-16y\right)$  
  

• 4( x - 32y) (x + 32y)

• ( 2x - 8y) (2 x + 8y)

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

Factor completely:

12p³+28p²-42p-98

• 2(2p²+7)(3p+7)

• 2(2p²+7)(3p-7)

• 2(2p²-7)(3p+7)

• 2(2p²-7)(3p-7)

Factor completely:

216x³ - 125

• $\left(6x-5\right)\left(36x^2-30x+25\right)$
  

• $\left(6x-5\right)^3$
  

• $\left(6x-5\right)\left(6x^2+30x+25\right)$

• $\left(6x-5\right)\left(36x^2+30x+25\right)$
  

Factor completely:

 $2x^4-14x^2-36$  

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

•  $2x\left(x^3-7x-18\right)$  

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

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

Factor completely.

3x² - 9x -120

• 3(x - 8)(x + 5)

• 3(x + 8)(x - 5)

• (3x + 8)(x - 5)

• (3x - 8)(x + 5)

Factor
4x²-25x+25

• 4(x-5)(x+5)
• (x+5)(4x+5)
• (x-5)(4x-5)
• (x+2)(9x+1)