Completing The Square 

                  Lesson 1

                                                                                                                       

  

                                                     Problem:    What value would be placed in the box to create perfect square trinomials?

                                                                                      x2 + 20x+   

                                                                      

  

                                                    Solution      To find the needed value for the perfect square trinomial,

                                                    Step 1:          take half of the coefficient of the middle term (x-term),

                                                                          square it, and put it in the box.                                                

                                      

                                                    Solution      Here, middle term is 6x; half of the coefficient of the middle term is 3

                                                    Step 2:                                                                             

                                                                                 

                                                    Solution       Square of 3 is 9

                                                    Step 3:                                                                 

 

                                                    Solution       Answer is: 9          

                                                    Step 4:                                                          

                                                    Complete                                                                                                                         

                                                   

                                                    Try two practice problems:  

 

                                                                       Do the following: 

                                                                       

What values would be placed in the boxes to create perfect square trinomials?

A.

       x2+18x+

B.

    x2 + 32x -

 

                                                                                     

                                                                                               

 

        

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