# Math Help - maximal ideals

1. ## maximal ideals

How do you prove that the ideal <x> in Q[x] is maximal?

Thanks!

2. Originally Posted by morganfor
How do you prove that the ideal <x> in Q[x] is maximal?

Thanks!
If $p(x)$ is irreducible then $\left< p(x) \right>$ is maximal.