Suppose that p(x) F[x] and E is a finite extension of F.
Chapter 21, Problem 19E(choose chapter or problem)
Suppose that \(p(x) \in F[x]\) and E is a finite extension of F. If p(x) is irreducible over F, and deg p(x) and [E:F] are relatively prime, show that p(x) is irreducible over E.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer