Finding root of a polynomial

  • Thread starter kathrynag
  • Start date
  • #1
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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.
 

Answers and Replies

  • #2
eumyang
Homework Helper
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I think Fermat's Little Theorem will be useful here.
 

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