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GCF & 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

Try this on your own.

SUMMARY of Factoring with a
GCF & by Grouping

1) Check for & factor GCF.
2) Split problem into two pairs .
3) Factor out GCF.
4) Re-write with common binomial
times other factors in a binomial.
5) Check using FOIL.
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