Let $F$ be a field and let $f\in F[x]$ be an irreducible polynomial. Prove that $f$ has a root in $K:=F[x]/\langle f \rangle$.
I don't have any start nor attampt to show. I just mention that $K\cong F(c)$ where $c$ is some root of $f$.
2026-04-02 18:28:33.1775154513
Irreducible $f\in F[x]$ has a root in $F[x]/\langle f \rangle$
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