MathDB

6

Part of 2000 Poland - Second Round

Problems(1)

Polynomial is a square of a polynomial

Source: 51 Polish MO 2000 Second Round - Problem 6

4/23/2018
Polynomial w(x)w(x) of second degree with integer coefficients takes for integer arguments values, which are squares of integers. Prove that polynomial w(x)w(x) is a square of a polynomial.
algebrapolynomialSquaresPoland