Moderate# Irreducible Polynomial Over the Integers (definition)

ABSALG-1LVECD

Which of the following are equivalent to a non-constant polynomial $P(x)\in {\mathbb Z}[x]$ being irreducible over ${\mathbb Z}$, that is, being irreducible as an element of ${\mathbb Z}[x]$?

Select **ALL** that apply.