6.1 Factoring with GCF

ObjectivesThe 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

MonomialsEx 7) 48u2v2 & 6uv3w

MonomialsEx 8) 8ax2 & 12a2x

In Class Examples

Assignment

6.1 Worksheet