1. ## Irreducible factorization

For any prime p, describe the irreducible factorization of f(x) = xp-x over Z/pZ.

Please, help with this problem. I don't even know how to start it.

Thank you

2. ## Re: Irreducible factorization

Hi,
Don't you know that ap = a for any a in Zp? So what are the roots of your polynomial in Zp?

3. ## Re: Irreducible factorization

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.