Dividing Polynomials

 

                1.  Algebra Tiles:

eg.  Simplify  

                  

 

                  = (3x2 + 6x + 9) ÷ 3 = x2 + 2x + 3

 

eg.  Simplify   

                  

                =   (2x2 + 4) ÷ 2 = x2 + 2

eg.  Simplify     remember long Division…

 

               

              =  56875 ÷ 5 = 11375

                                                 

                2.  Division of Polynomials by monomials

                                eg.  Simplify                                                     eg.  Divide the following:   

                                                                                                                                       

 thus    = x2 + 2x + 3                                                                                        thus    =  x2 + 2

 

                3.  Division of Polynomials by binomials

                                eg.  Divide                                                          eg.  Divide  

                                                                                                                

                                         thus    =  x + 6                                             thus    =  3x + 2

 

 

 

                                eg.  Divide                                            eg.  Divide 

                                                                                                 

                                         thus             = 2x2 + 7x + 6                     thus   =  x – 3