I worked through the proof myself for the most part, but to make it easier to view, I attached the proof that was provided to us.
What I must prove now is that this holds for ANY field. This is where I get...
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...