2.08  Review of Factoring

Basic Algebra: One Step at a TimePages 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 FCFFFactor 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 11 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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Dr. Robert J. Rapalje Altamonte Springs Campus
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