Factoring by GCF and Grouping

Factor by GCF:
6x + 24

• 2(3x+12)
• 6(x+4)
• x(6+24)
• not factorable

Tags

CCSS.7.EE.A.1

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

What is the GCF? 2x²-4x+8

• 2x
• 2
• x
• 1

Factor by grouping:
4p³+8p²+3p+6

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

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

Factor the following using grouping: 

 $$4x^3-3x^2-20x+15$$ 

•  $\left(x^2-3\right)\left(4x-5\right)$  

•  $\left(x^2+5\right)\left(4x-3\right)$  

•  $(x^2-5)(4x-3)$  

•  $\left(x-5\right)\left(4x-3\right)$  

Factor the following using grouping:

 $16x^3+4x^2−100x−25$  

•  $\left(4x^2-25\right)\left(4x+1\right)$  

•  $\left(4x-25\right)\left(4x^2+1\right)$  

•  $\left(4x^2+25\right)\left(4x-1\right)$  

•  $\left(16x^3+4x\right)\left(-100x-25\right)$  

Factor out the GCF

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Tags

CCSS.7.EE.A.1

20x³-25x²+4x-5

• (5x²-5)(4x+1)
• 5(x²-1)(4x+5)
• (5x²+1)(4x-5)
• (5x²+1)(4x-1)

Find GCF of 22x³+11x²

• 11x
• 11x²
• 22x
• 22x²