UA-UMO 1998 Problem 108

Find all pairs of polynomials $f(x),g(x)$ that satisfy $f(xy)=f(x)+g(x)f(y)$ for all $x,y$ .

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.