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I can't seem to find the correct answer for a polynomial division problem.

x^5+y^5 / x+y

I've done it over and over and tried to do different things but I just keep coming out with random answers.

 Nov 24, 2014

Best Answer 

 #2
avatar+130511 
+10

I worked out the "long method"....here it is

               x ^ 4   -  x^3y   +  x^2y^2  -  xy^3   + y^4

            -----------------------------------------------------

x + y     [  x^5                                                          +y^5 ]

                x^5    + x^4y

                          - x^4y 

                          - x^4y   - x^3y^2

                                       + x^3y^2

                                          x^3y^2    + x^2y^3

                                                         -x^2y^3

                                                         -x^2y^3 - xy^4

                                                                       +xy^4

                                                                        +xy^4  + y^5

                                                                       -------------------

                                                                                          0

 

 

 Nov 24, 2014
 #2
avatar+130511 
+10
Best Answer

I worked out the "long method"....here it is

               x ^ 4   -  x^3y   +  x^2y^2  -  xy^3   + y^4

            -----------------------------------------------------

x + y     [  x^5                                                          +y^5 ]

                x^5    + x^4y

                          - x^4y 

                          - x^4y   - x^3y^2

                                       + x^3y^2

                                          x^3y^2    + x^2y^3

                                                         -x^2y^3

                                                         -x^2y^3 - xy^4

                                                                       +xy^4

                                                                        +xy^4  + y^5

                                                                       -------------------

                                                                                          0

 

 

CPhill Nov 24, 2014
 #3
avatar+118723 
0

Very impressive Chris :)

 Nov 25, 2014

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