NL-NWO 1970 Problem 2

The equation $x^3 - x^2 + ax - 2^n = 0$ has three integer roots. Determine $a$ and $n$ .

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.