$p$ is a prime. Let $ f_1, f_2 \in Z / p Z [t]$ both of degree 2 and irreducible. Show that they have isomorphic splitting fields.
My approach was let $ K_1 = F(\alpha_1, \beta_1) / F$ be the splitting field of $f_1$, and let $K_2 = F( \alpha_2, \beta_2) / F$ be the splitting field of $ f_2$. Then I have trouble finding any relations between $ \alpha$'s and $\beta$'s. Any help is appreciated.