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.

GCF &amp; Factoring by Grouping

GCF & Factoring by Grouping