Let K be a field. If f(x) is a polynomial in K[x] of positive degree and K[x]/(f) is a field, prove that f(x) is irreducible in K[x].
Any help please, I'm completely stumped. This is a review question for my final.
Let K be a field. If f(x) is a polynomial in K[x] of positive degree and K[x]/(f) is a field, prove that f(x) is irreducible in K[x].
Any help please, I'm completely stumped. This is a review question for my final.