How would you go about showing that $p(x)=\frac{x^5-1}{x-1}=x^4+x^3+x^2+x+1$ is irreducible over $\mathbb{Q}$. I'm having trouble seeing how one can show whether this kind of polynomials are irreducible or not
Thanks for your help.
2026-04-05 19:03:51.1775415831
Showing irreducibility of a polynomial.
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Hint: Calculate $p(x+1)$ and note that $p(x)$ is irreducible iff $p(x+1)$ is
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