Intermediate Algebra
Answer/Discussion to Practice
Problems
on The GCF and Factoring by
Grouping
 Answer/Discussion
to 1a
The largest monomial that we can factor out of
each term is  . |
 |
*Divide
out of every term of the poly. |
| Answer/Discussion
to 1b
The largest monomial that we can factor out of
each term is  . |
 |
*Divide
out of every term of the poly. |
| Answer/Discussion
to 1c
Note how there is not a GCF for ALL the terms.
So let's go ahead and factor this by grouping. |
| 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
AND
Step 3: Factor out the common binomial. |
 |
*Factor out an a squared
from the 1st ( )
*Factor out a 5 from the 2nd ( )
*Divide (a - 2)
out of both parts |
| Answer/Discussion
to 1d
Note how there is not a GCF for ALL the terms.
So let's go ahead and factor this by grouping. |
| 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
AND
Step 3: Factor out the common binomial. |
 |
*Factor out an a 3x
from the 1st ( )
*Factor out a 2 from the 2nd ( )
*Divide (y + 7)
out of both parts |
All contents copyright (C) 2001 - 2008, WTAMU and Kim Seward. All rights reserved.
Last revised on Jan. 8, 2002 by Kim Seward. |
