Prove that

( , ) is isomorphic to ( + )

ATTEMPT:

Well we have been learning about extension fields. I know that if F is a field and a is a zero of a polynomial p(x) in F[x] then F(a) is isomorphic to F[x]/<p(x)>. So if i can find a polynomial such that , and + are all zero that would be great.

I really have no idea what to do can you guys give me hints?