6.1 Factoring with GCF Objectives The student will be able to: 1. Recognize the GCF of polynomials. 2. Factor out the GCF.

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Presentation transcript:

6.1 Factoring with GCF Objectives The student will be able to: 1. Recognize the GCF of polynomials. 2. Factor out the GCF.

GCF Greatest Common Factor –Listing method –Box method –Traditional Method

Greatest Common Factor (GCF) - The greatest integer that is a factor of each number. When variables are present you list common variables to the lowest power. Least Common Multiple (LCM) - The least positive integer having each number as a factor. When variables are present you list any variable to the highest power.

Greatest Common Factor (GCF) Listing Example Ex 3) 12, 16

Least Common Multiple (LCM) Listing Example Ex 4) 12, 16

GCF and LCM Ex 5) 72, 108 Ex 6) 72, 126

Prime Factorization Ex 1) 936 Ex 2) 924

Monomials Ex 7) 48u 2 v 2 & 6uv 3 w

Monomials Ex 8) 8ax 2 & 12a 2 x

In Class Examples

Assignment 6.1 Worksheet