
#1
Jan911, 06:34 PM

P: 607

Let p be a prime number. Find all roots of x^(p1) 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 (xc)^mf(x), but (xc)^(m+1) does not divide f(x). I'm not sure if I use this idea somehow or not. 



#2
Jan911, 09:58 PM

HW Helper
P: 1,347

I think Fermat's Little Theorem will be useful here.



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