Mixed Review GCF and Grouping

What is the GCF of 18 and 24?

• 3

• 6

• 8

• 9

What is the GCF of 18k and 15k³

• 3k²
• 3k³
• 3k
• 5k

What is the GCF of 5x² + 20x

• 5

• x

• 5x

• 20x

Factor by GCF

17xy - x

• 17(xy - x)

• y(17x - x)

• x(17y - 1)

• prime

Factor by GCF

x²-12x

• x²-13x

• 1(x²-12x)

• x(x-12)

Factor by grouping:
 $4p^3+8p^2+3p+6$  

•  $\left(2p^2+3\right)\left(p+2\right)$  

•   $\left(2p^2+6\right)\left(p+4\right)$  

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

•   $\left(4p^2+8p\right)\left(3p+6\right)$  

Factor by grouping:
 $5n^3-10n^2+3n-6$  

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

•  $\left(5n^2-3\right)\left(n-2\right)$  

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

•   $10n\left(n^2-6\right)$  

Factor by Grouping

20x³ - 25x² + 4x - 5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

Factor by grouping:
 $x^3+7x^2-2x-14$  

•   $\left(x^2-2\right)\left(x-7\right)$  

•  $\left(x^2+2\right)\left(x-7\right)$  

•  $\left(x^2+2\right)\left(x+7\right)$  

•  $\left(x^2-2\right)\left(x+7\right)$  

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)