My textbook has this quadratic equation that I have to solve, any ideas how I could show that?
$$15 | (21n^5+10n^3+14n),\;\forall n\in\mathbb{Z}$$
2026-03-29 06:02:28.1774764148
How to solve a quintic congruence equation?
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Hint.
Solve separately modulo $3$ and modulo $5$, then use the Chinese Remainder Theorem to solve simultaneous congruences.
B.t.w., this is not a quadrattic congruence, but a quintic one.