Distributive Property and GCF

Factoring (GCF) and Distributive Property

Fill in the Blanks

Find the missing factor:

$81=9\times$  _ ?

Fill in the Blanks

Find the missing factor:

$21=7\times$  _ ?

Fill in the Blanks

Find the missing factor:

$48=6\times$  _ ?

Multiple Choice

What is a factor?

• an answer to a multiplication problem

• a number that multiplies with another number to get a product

• the same as a product

• the same as a dividend

Distributive Property: 2 ways

• Multiplying

• Factoring

Multiple Choice

what is the greatest common factor of the three terms in the expression
-24m³n⁵p + 24mn⁴p² + 4mn⁵

• 4mn
• 24mn⁴
• 4mn⁴
• 4mn⁴p

Multiple Choice

Factor by GCF:

17xy - x

• 17(xy - x)

• y(17x - x)

• x(17y - 1)

• Prime

Multiple Choice

Factor completely

(2x³y²-6x²y)⁴

• 16x⁸y⁴(xy-3)⁴

• 2x²y⁴(xy-3)⁴

• 2x⁸y⁴(xy-3)⁴

• 8x⁶y⁴(xy-3)⁴

Multiple Choice

What is the greatest common factor of the following polynomial:
11(x - 3) + 22(x - 3)² + 55(x - 3)⁵ + 66(x - 3)⁴

• (x - 3)
• 11
• 11(x - 3)⁴
• 11(x - 3)

Multiple Choice

Factor out the GCF leaving the expression in simplest factored form:

(x+4)³(x+1)²+(x+4)²(x+1)²

• (x+4)³(x+1)²

• (x+4)²(x+1)²(x+4)

• (x+4)²(x+1)²((x+4)²+1)

• (x+4)²(x+1)²(x+5)

Homework

The Greatest Common Factor Worksheet

(posted in Google Classroom)