ILL 1985 Problem 82

Find all cubic polynomials $x^3 +ax^2 +bx+c$ admitting the rational numbers $a$ , $b$ and $c$ as roots.

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.