MathDB
Inequality with polynomial

Source: Russian TST 2016, Day 8 P1 (Group NG), P2 (Groups A & B)

April 19, 2023
algebrapolynomialInequality

Problem Statement

For which even natural numbers dd{} does there exists a constant λ>0\lambda>0 such that any reduced polynomial f(x)f(x) of degree dd{} with integer coefficients that does not have real roots satisfies the inequality f(x)>λf(x) > \lambda for all real numbers?
Back to ProblemsView on AoPS