Hello I got this problem, if $p$ is prime then the polynomial: $$q(x)=1+x+x^2+...+x^{p-1} $$ is irreductible in $\mathbb{Q}[x]$. I don't know how to do this exactly. And a problem is that a condition to this question is that I can't use the Eisenstein Criterion, only the basic things about ring theory. Thanks if you can help me with this.
2026-04-09 12:36:46.1775738206
Irreductible polynomial in Q
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