Let $f(x)$ be a polynomial with integer coefficients. Assume that $3$ divides the value $f(n)$ for each integer $n.$ Prove that when $f(x)$ is divided

score 76 · Answer 14 · 2026-04-10 14:11:11

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KKT conditions on optimization problem with inequalities

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score 120 · Answer 15 · 2026-04-14 17:42:18

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Proving that if $x$ is irrational, then $\frac1x$ is irrational

Published on 14 Apr 2026 - 17:42

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Let $f(x)$ be a polynomial with integer coefficients. Assume that $3$ divides the value $f(n)$ for each integer $n.$ Prove that when $f(x)$ is divided

KKT conditions on optimization problem with inequalities

Proving that if $x$ is irrational, then $\frac1x$ is irrational

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