SOLUTION: divide x^6+1 by x+1

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Question 1208455: divide x^6+1 by x+1
Answer by mccravyedwin(409) About Me  (Show Source):
You can put this solution on YOUR website!
By long division:
            x5 -  x4 +  x3 -  x2 +   x - 1
x + 1)x6 + 0x5 + 0x4 + 0x3 + 0x2 +  0x + 1
      x6 +  x5
           -x5 + 0x4
           -x5 -  x4
                  x4 + 0x3
                  x4 +  x3
                       -x3 + 0x2
                       -x3 -  x2
                              x2 +  0x 
                              x2 +   x
                                    -x + 1
                                    -x - 1
                                         2
                             
x%5E5-x%5E4%2Bx%5E3-x%5E2%2Bx-1%2B2%2F%28x%2B1%29                      

By synthetic division:

-1| 1  0  0  0  0  0  1
  |   -1  1 -1  1 -1  1
    1 -1  1 -1  1 -1  2 

x%5E5-x%5E4%2Bx%5E3-x%5E2%2Bx-1%2B2%2F%28x%2B1%29

Edwin