Factor Linear ExpressionsLesson 5-8

Vocabulary:

Monomial - a number, variable, or product of a number andone or more variables

ex: 25 x 40xy

Factor - to write a number as a product of its factors(prime numbers that multiply to equal the value)

Factored Form - when a linear expression is written as a product of its factors

a) List the factors of each monomial (use only prime #’s - 2, 3, 5, 7, ...)

b) Circle all common factors

c) Multiply circled factors of top row only for GCF

a) List the factors of each monomial (use only prime #’s - 2, 3, 5, 7, ...)

b) Circle all common factors

c) Multiply circled factors of top row only for GCF

a) List the factors of each monomial (use only prime #’s - 2, 3, 5, 7, ...)

b) Circle all common factors

c) Multiply circled factors of top row only for GCF

GCF = 4

GCF = 5x

GCF = 14mn

a) Find the GCF for each term

b) Write each term as a product of the GCF and its remaining factors

GCF = 3

a) Find the GCF for each term

b) The expression cannot be factored into an equivalent expression

No GCF because there are no common factors

Can’t be factored

GCF = 4

4(x) - 4(7)

4(x - 7) 3(x + 11y)Can’t be factored

GCF = 3 GCF = none

3(x) + 3(11y)

a) Find the GCF for each term

b) Write each term as a product of the GCF and its remaining factors

GCF = 3

GCF = 5

5(5x) + 5(24)5(5x + 24)

Homework:

Pg. 419-420 #1-17 (all)