Factoring by GCF and Grouping Review

Factoring is the opposite of which property

• associative

• additive inverse

• distributive

• commutative

Tags

CCSS.7.EE.A.1

Find GCF of 22x³+11x²

• 11x
• 11x²
• 22x
• 22x²

What is the greatest common factor of 28y²and 49y²?

• 7y
• 21y²
• 196y²
• 7y²

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

Factor Completely:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor Completely

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor Completely:

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

Factor completely

45xy + 15x³y + 10y

• 5y (9xy + 3x² + 2y)

• 5xy (9 + 3x² + 2)

• 5x (9y + 3xy + 2)

• 5y (9x + 3x³ + 2)

Factor by grouping:
4p³+8p²+3p+6

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

2x³-8x²-x+4

• (2x²-1)(x-4)
• 2(x²-1)(x+4)
• (x²-1)(2x-4)
• (2x²+1)(x-4)