I have this question in a past exam paper.
Let $F_p$ be the field of integers modulo prime $p$.
I have the question
What is meant by saying $f$ is primitive?
This is the solution I have.
If deg$f=h$ and $f(\alpha)=0$ for $\alpha \in F_p h$ then $f$ is primitive if the order of $\alpha$ is $p^h -1$.
What is $p^h$?