Problem A. 696. (April 2017)
A. 696. Let \(\displaystyle k\ge2\) be an integer. Determine all those polynomials \(\displaystyle p(x)\) with real coefficients for which
\(\displaystyle p(x) \cdot p(2x^k-1) = p(x^k) \cdot p(2x-1). \)
(5 pont)
Deadline expired on May 10, 2017.
Statistics:
12 students sent a solution. 5 points: Borbényi Márton, Csahók Tímea, Gáspár Attila, Imolay András, Kővári Péter Viktor, Matolcsi Dávid, Williams Kada. 4 points: Baran Zsuzsanna, Bukva Balázs. 2 points: 1 student. 0 point: 2 students.
Problems in Mathematics of KöMaL, April 2017