SOLUTION: What is f(x) = x^8 - 1 divided by x - 1?

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Question 885527: What is f(x) = x^8 - 1 divided by x - 1?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E8-1
%28x%5E4%2B1%29%28x%5E4-1%29
%28x%5E4%2B1%29%28x%5E2%2B1%29%28x%5E2-1%29
%28x%5E4%2B1%29%28x%5E2%2B1%29%28x%2B1%29%28x-1%29

That divided by (x-1) will be the same as %28x%5E4%2B1%29%28x%5E2%2B1%29%28x%2B1%29 which you can also find using polynomial division or using synthetic division. Either of those way,s the dividend must be used as x%5E8%2B0%2Ax%5E7%2B0%2Ax%5E6%2Betcetera%2B0x%5E1-1.