Integers \(\displaystyle a, b, c\) are given. Prove that there is positive integer \(\displaystyle x\) such, that \(\displaystyle x^3 + ax^2 + bx + c\) is not a square of an integer.
Well... expression isn't a square of an integer if it can by divided by \(\displaystyle k \), but not by \(\displaystyle k^2\). But I don't know how to use it in this problem. I even tried to factorize the polynomial, without effect.
Well... expression isn't a square of an integer if it can by divided by \(\displaystyle k \), but not by \(\displaystyle k^2\). But I don't know how to use it in this problem. I even tried to factorize the polynomial, without effect.