Problem A. 644. (May 2015)
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 \(\displaystyle \max_{a,b\in[2,2]}\bigf(a,b)\big\ge4\).
Based on the idea of Tamás Erdélyi, College Station, Texas
(5 pont)
Deadline expired on 10 June 2015.
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