Is the polynomial $x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1$ irreducible in $\mathbb{Z}_{17}$? I don't know how to solve it.
Thank you for any help!
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1Hint: your polynomial is $(x^{11}-1)/(x-1)$. What can the factors of $x^{11}-1$ be? – Steven Stadnicki Feb 23 '21 at 19:01
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@Steven Stadnicki I don't understand... – Ingrid Feb 23 '21 at 19:03