Question 61
Find all positive integers $n$ for which
$$
3x^n + n(x + 2) - 3 \ge nx^2
$$
holds for all real numbers $x$.
$$
3x^n + n(x + 2) - 3 \ge nx^2
$$
holds for all real numbers $x$.
MathNet 2016-part-01 — 184 problems (EN–VI) Question 61
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)