2.01  Factoring the Common Factor

Intermediate Algebra: One Step at a TimePages 112 - 115:   42, 46, 47, 48

Dr. Robert J. Rapalje

Seminole Community College

Sanford, FL  32773

                                                                              

To see Section 2.01, with explanations, examples, exercises, and answers, click here!

 

See also :   Basic Algebra:  Factoring the Common Factor

                                                        

Guidelines to Factoring

 

  1. Common Factor
  2. Trinomials
  3. Difference of Squares; Difference and Sum of Cubes
  4. Grouping

 

p. 115.  # 42.        

The first step is to recognize that there is a common factor.  You must take out the  that is common to both terms.  This leaves a factor of in the FIRST position, and a factor of in the SECOND position!

                              

Next, you can drop the red parentheses terms within the brackets.  Notice that the y terms subtract out, and all that is left iswhich is .  

                                                       

                                

It looks nicer if you write it like this:

Final Answer:          

 

46.        

The first step is to recognize that there is a common factor.  You must take out the  that is common to both terms.  This leaves a factor of in the FIRST position, and a factor of in the SECOND position!

                              

Next, combine like terms within the brackets.  Notice that the y terms subtract out, and all that is left iswhich is  or    

                                                       

                                

It looks nicer if you write it like this:

Final Answer:          

 

47.        

The first step is to recognize that there is a common factor.  You must take out the  that is common to both terms.  This leaves a factor of in the FIRST position, and a factor of in the SECOND position!

                              

Next, remove the parentheses within the brackets by use of the distributive property, and combine like terms.     

                                                   

                            

Final Answer:   

 

48.        

The first step is to recognize that there is a common factor.  You must take out the  that is common to both terms.  This leaves a factor of in the FIRST position, and factors of in the SECOND position!

                              

Next, remove the parentheses within the brackets by use of the distributive property, and combine like terms.  

                                                  

                           

Final Answer:  

 

  Return to main page     Return to Intermediate Algebra     

Math in Living C O L O R !!

 

Dr. Robert J. Rapalje Altamonte Springs Campus
Contact me at:   rapaljer@scc-fl.edu
Phone number:  NONE Retired!!
OFFICE:          NONE  
Copyright © Seminole Community College, 1997