Mathematical and Physical Journal
for High Schools
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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.

Problems in Mathematics of KöMaL, April 2008