For any prime p, describe the irreducible factorization of f(x) = x^{p}-x over Z/pZ. Please, help with this problem. I don't even know how to start it. Thank you
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Hi, Don't you know that a^{p} = a for any a in Z_{p}? So what are the roots of your polynomial in Z_{p}?
Ok, I know that x=0 and x=0(modp) are roots of the polynomial. I think I am overhinking the question. I am not sure what they want me to describe when they say describe the irreducible factorization. Thanks for your help.
Okay, here's the solution you're trying to find:
Thank you.
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