MathDB
f(x) \ge f'(x) , f(x) is real polynomial of degree n

Source: 1986 Polish MO Finals p4

January 21, 2020
algebrapolynomialderivativefunctional equation

Problem Statement

Find all nn such that there is a real polynomial f(x)f(x) of degree nn such that f(x)≥f′(x)f(x) \ge f'(x) for all real xx.
Back to ProblemsView on AoPS