RO-TST 2003 Problem 7

Find all integers $a,b,m,n$ , with $m>n>1$ , for which the polynomial $f(X)=X^n+aX+b$ divides the polynomial $g(X)=X^m+aX+b$ .

Laurentiu Panaitopol

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.