Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation

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Problem A. 454. (April 2008)

A. 454. Is there any polynomial p having degree at least 1 over the reals that satisfies p²(x)-1=p(x²+1) for all real numbers x?

(5 pont)

Deadline expired on May 15, 2008.

4 students sent a solution.

5 points: Lovász László Miklós.

3 points: 1 student.

2 points: 1 student.

0 point: 1 student.