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Finding root of a polynomial

by kathrynag
Tags: polynomial, root
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Jan9-11, 06:34 PM
P: 603
Let p be a prime number. Find all roots of x^(p-1) in Z_p

I have this definition.
Let f(x) be in F[x]. An element c in F is said to be a root of multiplicity m>=1 of f(x) if (x-c)^m|f(x), but (x-c)^(m+1) does not divide f(x).

I'm not sure if I use this idea somehow or not.
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Jan9-11, 09:58 PM
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P: 1,347
I think Fermat's Little Theorem will be useful here.

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