MathDB

polynomials

Source: KGZ national 2016 5-problem

May 10, 2016

Polynomialsalgebrapolynomial

Problem Statement

Given two monic polynomials

P(x)

and

Q(x)

with degrees 2016.

P(x)=Q(x)

has no real root. Prove that P(x)=Q(x+1) has at least one real root.