How do we know if something is reducible/irreducible in $\mathbb{F}_3[x]$ in terms of polynomials?
2026-04-25 19:35:10.1777145710
Irreducibility in $\mathbb{F}_3[x]$
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We could be particularly brute force about it, and see whether $f\in\mathbb{F}_3[x]$ is irreducible by simply checking every polynomial in $\mathbb{F}_3[x]$ of degree less than $\deg(f)$ to see if it is a factor of $f$.