Problem A. 651. (October 2015)

A. 651. Determine all real polynomials \(\displaystyle P(x)\) that satisfy

\(\displaystyle P\big(x^3-2\big)=P{(x)}^3-2. \)

CIIM 2015, Mexico

(5 pont)

Deadline expired on November 10, 2015.

Statistics:

11 students sent a solution.
5 points:	Lajkó Kálmán, Szabó 789 Barnabás, Williams Kada.
2 points:	4 students.
1 point:	2 students.
0 point:	2 students.

Problems in Mathematics of KöMaL, October 2015