Recall that two polynomials f (x) and g(x) from F[x] are
Chapter 20, Problem 22E(choose chapter or problem)
Recall that two polynomials f (x) and g(x) from F[x] are said to be relatively prime if there is no polynomial of positive degree in F[x] that divides both f (x) and g(x). Show that if f (x) and g(x) are relatively prime in F[x], they are relatively prime in K[x], where K is any extension of F.
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