MathDB
a, b \in N and a+b is a square , then P(a) + P(b) is also a square

Source: Indian Postal Coaching 2008 set 5 p2

May 25, 2020
polynomialInteger PolynomialPerfect Squarealgebra

Problem Statement

Find all polynomials PP with integer coefficients such that wherever a,bāˆˆNa, b \in N and a+ba+b is a square we have P(a)+P(b)P(a) + P(b) is also a square.
Back to ProblemsView on AoPS