Mathematical and Physical Journal
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Problem A. 511. (May 2010)

A. 511. Show that for arbitrary positive integers nk there exists a polynomial p(x), with degree at most 100\sqrt{nk}, such that p(0) >
\big(\big|p(1)\big|+\ldots+\big|p(n)\big|\big) +
\big(\big|p(-1)\big|+\ldots+\big|p(-k)\big|\big).

(5 pont)

Deadline expired on June 10, 2010.


Statistics:

1 student sent a solution.
5 points:Nagy 648 Donát.

Problems in Mathematics of KöMaL, May 2010