Any ideas as in how to Factor $x^{10}-1$ into linear factors in the integers modulo $11$, $\Bbb Z_{11}=\Bbb Z/11\Bbb Z$?
I've been trying but can't come up with an answer.
2026-03-26 01:03:06.1774486986
factoring polynomials in $\Bbb Z/11\Bbb Z$
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All nonzero elements of $\Bbb Z/11\Bbb Z$ are 10th roots of 1, so it's just
$$(x-1)(x-2)(x-3)\ldots (x-10)$$