Hello. The question that I am having trouble with is the one found in the title. I will repeat it again here in the post. "If F is ANY field then (x^m-1)|(x^n-1) in F[x] if and only if m|n." I have determined that if m|n, then (x^m-1)|(x^n-1) as long as n >= 2 and s >= r >= 1. However, the part that I am now having trouble proving is that this statement holds for ANY field. I am not looking for an answer, but maybe a more precise definition of what I am trying to prove, and maybe the steps I need to take to prove it. Thank you very much in advance.