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Results tagged with factorization
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user 18086
For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).
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Factoring a certain quartic mod primes
For $p> 5$, suppose $p \equiv \pm 1$ or $\pm 11 \mod 30$. Then $p \equiv \pm 1 \mod 5$, so by reciprocity $5$ is a quadratic residue. Let $r^2 \equiv 5.$ Then for $a = 6+2r$ and $b=6-2r$, $(x^2 + ax - …
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