Factoring Common Factors

Factor. 27 - 9x + 15y

• 9(3 - x + 15y)

• 3(9 - 3x + 5y)

• 2(13 - 5x + 7y)

• 3(9 - 9x + 5y)

Write the following expression in factored form.

8j + 10 - 12k

• 2(4j + 5 - 12k)

• 2(4j + 5 - 6k)

• 4(2j + 5 - 6k)

• 2(4j - 5 - 6k)

Rewrite the expression using the GCF and the Distributive Property:

45 + 30

• 5 ( 9+ 6)

• 3 ( 15 + 10)

• 15 (3 + 2)

• 1 (45 + 30 )

Definition of a factor.

• Parts of an expression separated by + and - signs

• A term or expression with no variables

• The number multiplied times a product of variables or powers of variables in a term

• The numbers or expressions that when multiplied produce a given product

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Which is a common factor of 12x and 27?

• x

• 12

• 3

• 9

Factor using GCF or monomial factoring:

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Factor using GCF or monomial factoring:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)