Since this polynomial $f(x)=x^p-x^{p-1}+1$ is relative prime to its derivative, it is separable. Can I prove irreducibility from here? Can anyone give me some hints to proceed? Thanks!
2026-04-08 06:11:06.1775628666
Prove that $x^p-x^{p-1}+1$ is irreducible over $\mathbb{F}_p$
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