Factoring Trinomials (a = 1)

                     Lesson 1

                                                                                                                        

                                                             Problem:                   Factor:  x - 9x +20

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

                                                 

                                     The product of last must be = 20

 

                                                                                 Solution                          Possible answers are -4 and -5, -10 and -2, +4 and -5, -2 and 10.

                                                             Step 2:                        Perform the operation on each of these pairs to yield the middle term.

                                                                                 

                                                                                                            -5 - 4 = -9

                                                                                 Solution                          The trinomial will be x - 5x 4x + 20.

                                                             Step 3:    

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

                                                                                = (x 4) (x - 5)

 

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

 Step 4:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Factor the following:

A.

x2 - 6x + 9

B.

x2 - 36

                                                                                               

    

 

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