Polynomial Rings : Relatively Prime Elements

Let F, K be two fields, F is a subset of K and suppose f(x), g(x) Є F[x] are relatively prime in F[x]. Prove that they are relatively prime in K[x].

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/polynomial-rings-relatively-prime-elements-3cl0