Question 1
Given a polynomial $P(x)$ with positive real coefficients.
Prove that $P(1)P(xy) \ge P(x)P(y)$ for all $x \ge 1, y \ge 1$.
Prove that $P(1)P(xy) \ge P(x)P(y)$ for all $x \ge 1, y \ge 1$.
MathNet 2012 Question 1
Math Olympiad Vault · MathNet 2012