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.

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- November 25th 2012, 10:28 AMTimsBobby2Let K be a field. If f(x) is a polynomial in K[x]... prove that f(x) is irreducible..
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.