Is $x^p+p-1$ always irreducible in Q[x] for p prime? I have a feeling it is true, however im only able to prove it for p=2,3.How could i generalize it for every p? Thanks
2026-04-06 21:48:26.1775512106
Is $x^p+p-1$ always irreducible in Q[x] for p prime?
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Hint: $P(x)$ is irreducible if and only if $P(x+1)$ is irreducible.