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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 on theme: "6.1 Factoring with GCF Objectives The student will be able to: 1. Recognize the GCF of polynomials. 2. Factor out the GCF."— Presentation transcript:

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

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

3 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.

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

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

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

7 Prime Factorization Ex 1) 936 Ex 2) 924

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

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

10 In Class Examples

11 Assignment 6.1 Worksheet


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