Factoring #6 – Factoring By Grouping Worksheet
SKILL #7 NOTES: Factoring a Polynomial with Four Terms by Grouping
In some cases there is not a GCF for ALL the terms in a polynomial. If you have four terms with no GCF, then try factoring by grouping.
Step 1: Group the first two terms together and then the last two terms together.
Step 2: Factor out a GCF from each separate binomial.
Step 3: Factor out the common binomial.
Example 1: Factor by grouping: [pic]
Step 1: Group the first two terms together and then the last two terms together.
*Two groups of two terms
Step 2: Factor out a GCF from each separate binomial.
*Factor out an x squared from the 1st ( )
*Factor out a 2 from the 2nd ( )
Step 3: Factor out the common binomial.
*Divide (x + 7) out of both parts
Step 4: CHECK YOUR ANSWER
Example 2: Factor by grouping: [pic]
Step 1: Group the first two terms together and then the last two terms together.
*Two groups of two terms Be careful. When the first term of the second group of two has a minus sign in front of it, you want to put the minus in front of the second ( ). When you do this you need to change the sign of both terms of the second ( ) as shown above.
Step 2: Factor out a GCF from each separate binomial.
*Factor out an x from the 1st ( )
*Factor out a 4 from the 2nd ( )
Step 3: Factor out the common binomial.
*Divide (3x + y) out of both parts
Step 4: CHECK YOUR ANSWER
Skill #7 PRACTICE PROBLEMS:
Factor by grouping:
1. 9p3 + 3p2 + 15p + 5 2. 6aw – 36 ak + 6b2w – 36b2k
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