MathDB

3

Part of 2017 IOM

Problems(1)

Composition of polinomials

Source: IOM 2017 #3

9/5/2017
Let QQ be a quadriatic polynomial having two different real zeros. Prove that there is a non-constant monic polynomial PP such that all coefficients of the polynomial Q(P(x))Q(P(x)) except the leading one are (by absolute value) less than 0.0010.001.
polynomialalgebra