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 Dependent Variable

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# GCF &amp; Factoring by Grouping

Objective: To factor
polynomials with a greatest
common factor and to factor
four terms by grouping .
GCF

Greatest Common Factor (GCF) –
greatest number that is a factor of all
integers

Variables? – Use the lowest power of
each common variable .

Ex.) Find the GCF of 40, 60, and 80.
GCF = 20

EXAMPLES

 Ex.) Find the GCF of 64, 80 and 96 Ex.) Find the GCF of 18x3 and 6x. Solution : 16 Solution: 6x Ex.) Find the GCF of 40a2b and 48ab4. Solution: 8ab

Hollywood Squares
Factoring by Grouping

Clue 1: 4 terms

Clue 2: 2 pairs of terms with
a GCF
Steps for Factoring with Grouping

1. Check polynomial for GCF & factor
out.
2. Split polynomial into two pairs .
3. Factor out GCF from each pair .
4. Look for common binomial .
5. Re-write with common binomial
times other factors in a binomial.
6. Check using FOIL.
Examples

More Examples