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A. 644. Let $\displaystyle f(x,y)$ be a polynomial with two variables and integer coefficients such that $\displaystyle f$ is constant neither in $\displaystyle x$- nor in $\displaystyle y$-direction. Prove that $\displaystyle \max_{a,b\in[-2,2]}\big|f(a,b)\big|\ge4$.

Based on the idea of Tamás Erdélyi, College Station, Texas

(5 points)

Deadline expired on 10 June 2015.

Statistics on problem A. 644.
 1 student sent a solution. 5 points: Williams Kada.

• Problems in Mathematics of KöMaL, May 2015

•  Támogatóink: Morgan Stanley