Root of $f_r(x) \iff \text{elements } a\in F, f(a)\in \Z_p$
Now there are p(p-1) elements → at most p(p-1) many elements have the property $f(a)\in \Z_p$
There are only 4 options so check each one to see if it is irreducible.
Covered last lecture
Whiteboard[1].pdf