MathDB

Problem 6 of First round

Source: VII International Festival of Young Mathematicians Sozopol, Theme for 10-12 grade

August 29, 2019

algebraPolynomials

Problem Statement

Find all polynomials

P\in \mathbb{Q}[x]

, which satisfy the following equation:

P^2 (n)+\frac{1}{4}=P(n^2+\frac{1}{4})

for

\forall

n\in \mathbb{N}