SOLUTION: use long division to divide. x^6-1 / x-1

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Question 383505: use long division to divide.
x^6-1 / x-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

       x^5 + x^4 + x^3 + x^2 + x + 1
      ____________________________________________
x -1 | x^6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x - 1
    - (x^6 -  x^5)
    ---------------------
              x^5 + 0x^4
          -  (x^5 -  x^4)
          ----------------------
                     x^4 + 0x^3
                 -  (x^4 -  x^3)
                 ----------------------              
                            x^3 + 0x^2
                        -  (x^3 -  x^2)
                        --------------------             
                                   x^2 + 0x
                               -  (x^2 -  x)
                               ----------------- 
                                          x - 1
                                      -  (x - 1)
                                      ----------
                                              0

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