BALTIC-WAY 2016 Problem 7

Find all positive integers $n$ for which

$3 x^{n}+n(x+2)-3 \geq n x^{2}$

holds for all real numbers $x$ .

Dataset text NuminaMath olympiads. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.