According to the Gauss lemma, the product of primitive polynomials is primitive. Therefore if f(x),g(x) are primitive and f(x)=g(x)h(x) with h(x) in F[x], then necessarily h(x) is in A[x] and primitive. […] The irreducible elements of A[x] are irreducible elements of A and primitive polynomials which are irreducible in F[x].

Come home early, we have a lot to talk over.

A peeler man who heard the din came in to see the show; He tried to run the bushman in, but he refused to go. And when at last the barber spoke, and said 'Twas all in fun— 'Twas just a little harmless joke, a trifle overdone.

Any complicated formulas needed (and not easily rederivable) will be given in the exam — so no crib sheets are allowed.