Algebra 9.4.1­Factoring Polynomials 2017.notebook
Algebra:
Please clear your desk except for...
March 16, 2017
1.
1. Assignment #51
2. SNB - Simplify the following expressions.
1.
2.
2.
3.
4.
5.
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3. Use the distributive property.
Mar 15­5:00 PM
Mar 15­5:00 PM
Use FOIL.
4.
5.
Mar 15­5:00 PM
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Algebra 9.4.1­Factoring Polynomials 2017.notebook
How can we factor polynomials?
"Factoring" refers to writing something as a product.
Factoring completely means that all of the factors are
relatively prime (they have a GCF of 1).
March 16, 2017
Method 1: Factoring Out the Greatest Common Factor (GCF)
Factoring out the GCF can be done by using the distributive property.
Ex 1: Factor
.
Step 1: Find the GCF of
The GCF is 2.
Methods:
1. Greatest Common Factor (GCF) - Any polynomial
2. Grouping - Only for 4 or 6 term polynomials
3. Trinomial Method - Only for Trinomials
.
Step 2: Rewrite by factoring out the GCF.
Step 3: Check by using the distributive property.
Mar 30­3:54 PM
Ex 2: Factor
and
Mar 30­4:03 M
.
Factor each polynomial completely.
Ex 3:
Ex 4:
Ex 5:
Mar 30­4:18 PM
Mar 30­4:22 PM
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Algebra 9.4.1­Factoring Polynomials 2017.notebook
Method 2: Factoring by Grouping
March 16, 2017
Check:
Ex 2:
Ex 1:
Step 1: Group terms together that have a common monomial factor.
Step 2: Factor out the GCF of each group.
Ex 3:
Step 3: Find the common polynomial factor and factor it out using the distributive property.
Step 4: Check by multiplying.
Mar 30­4:03 PM
Mar 30­4:37 PM
Ex 4:
Mar 30­4:39 PM
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