Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem A. 659. (January 2016)

A. 659. For which $\displaystyle n$ are there polynomials $\displaystyle g(x)$ and $\displaystyle h(x)$ with real coefficients and degrees smaller than $\displaystyle n$ such that $\displaystyle g\big(h(x)\big)= x^n+x^{n-1}+x^{n-2}+\dots +x^2+x+1$?

Miklós Schweitzer Competition, 2015

(5 pont)

Deadline expired on February 10, 2016.

### Statistics:

 6 students sent a solution. 5 points: Glasznova Maja, Imolay András, Williams Kada. 3 points: 2 students. 0 point: 1 student.

Problems in Mathematics of KöMaL, January 2016