SOLUTION: (x^4 -1)\(x -1)

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Question 368197: (x^4 -1)\(x -1)
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use polynomial long division,

      x^3 + x^2 + x + 1
    ___________________________
x-1 | x^4 + 0x^3 + 0x^2 + 0x - 1
   - (x^4 -  x^3)
       ----------
             x^3
          - (x^3 -  x^2)
            ------------
                    x^2 
                -  (x^2 -  x)
                   ----------
                           x - 1
                        - (x - 1)
                          -------
                               0

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