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2.08 Review of Factoring
Basic
Algebra: One Step at a Time. Pages
181-184: # 37, 38, 39
Dr. Robert J. Rapalje
Seminole State College of Florida
Sanford, FL 32773
To see
Section 2.08, with all
the exercises, and answers,
click here!
p. 182: 37.
SOLUTION: Notice
that there is a common factor
to all three terms. The first step in ANY factoring problem is to take out
the common factor. Remember FCFF:
Factor
the Common
Factor
First!!
The common factor is 3.



Notice that this is a
trinomial which
factors:


This can be written as

p.
182: 38.
SOLUTION:
Notice
that there is a common factor
both terms, and that common factor is y.
As in the previous problem, and in fact in ANY problem, the first step is to
take out the common factor. Remember
FCFF:
Factor the
Common
Factor
First!!



Notice that this is a
difference of squares
which factors:


p. 182: 39.
SOLUTION:
Notice that this is a
difference of squares.
The
First
times First
must be
:
times


The
Last times
Last must be
1: 1
times 1.

Because the
1 is negative,
use opposite signs.

The factor
is
itself a difference of squares, and so it must be re-factored. However, the
factor is
the SUM of squares. It does not re-factor, and it must be left as it is in
the final answer.

Final
Answer!!
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