no of roots of P(P(x)) = 0 vs P(x) = 0 - All-Russian MO 2002 Regional (R4) 11.5
Source:
September 17, 2024
algebrapolynomial
Problem Statement
Let be a polynomial of odd degree. Prove that the equation has at least as many different real roots as the equation [hide=original wording]Пусть P(x) — многочлен нечетной степени. Докажите, что уравнение P(P(x)) = 0 имеет не меньше различных действительных корней, чем уравнение P(x) = 0