Let $p$ be a prime and $Q$ be an irreducible polynomial over $\mathbb{F}_p[x]$. Which are all $p$ and $Q$ such that there exists a polynomial $R(x) \in \mathbb{F}_p[x]$ such that $Q$ divides $x - R^2$?
2026-03-30 00:19:20.1774829960
When is $x$ a square in $\mathbb{F}_p[x]/(Q) $?
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