ÖMO 1997 Problem 6

For every natural number $n$ , find all polynomials $x^2+ax+b$ , where $a^2 \ge 4b$ , that divide $x^{2n}+ax^n+b$ .

Dataset text AI-MO AoPS. 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.