SOLUTION: find the real factor of the following: x^n+1 (where n is an odd integer)

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Question 477736: find the real factor of the following: x^n+1 (where n is an odd integer)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
find the real factor of the following: x^n+1 (where n is an odd integer)

x%5E3%2B1+=+%28x-1%29%28x%5E2-x%2B1%29

x%5E5%2B1+=+%28x-1%29%28x%5E4-x%5E3%2Bx%5E2%2B1%29

x%5E7%2B1+=+%28x-1%29%28x%5E6-x%5E5%2Bx%5E4-x%5E3%2Bx%5E2-x%2B1%29

x%5E9%2B1+=+%28x-1%29%28x%5E8-x%5E7%2Bx%5E6-x%5E5%2Bx%5E4-x%5E3%2Bx%5E2-x%2B1%29

.................................



where n is an odd integer.

Edwin