Factoring Trinomials (a <> 1)

                     Lesson 1

                                                                                                                        

                                                             Problem:                   Factor:  3x - 19x +20

                                                             Step 1:                    The first term must be 2x to get the leading term as 2x, (2x) (x)

                                                 

                                     All possible factors of last term 20

 

                                                                                 Solution                         Perform the operation on each of these pairs to yield the middle term.

                                                             Step 2:                       

                                                                                                            -15 - 4 = - 19

                                                                                 Solution                          The trinomial will be 3x - 15x 4x + 20.

                                                             Step 3:    

                                                                               = 3x (x - 5) 4 (x - 5)

                                                                                = (3x 4) (x - 5)

 

 Solution                     The answer is:  (3x 4) (x - 5)

 Step 4:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Factor the following:

A.

2x2 - 9x + 9

B.

4x2 - 36

                                                                                               

    

 

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