Mathematical and Physical Journal
for High Schools
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Problem A. 801. (May 2021)

A. 801. For which values of positive integer \(\displaystyle m\) is it possible to find polynomials \(\displaystyle p,q\in \mathbb{C}[x]\) with degrees at least two such that \(\displaystyle x(x+1)\cdots(x+m-1) =p\big(q(x)\big)\)?

Submitted by Navid Safaei, Tehran

(7 pont)

Deadline expired on June 10, 2021.


Sorry, the solution is available only in Hungarian. Google translation

 

Statistics:

2 students sent a solution.
7 points:Füredi Erik Benjámin.
2 points:1 student.

Problems in Mathematics of KöMaL, May 2021