Problem A. 460. (September 2008)
A. 460. If p(x) is a polynomial with degree less than 2n, show that
Deadline expired on November 17, 2008.
Solution (outline). As is well-known
for all polynomials p with degree less than m. We will apply this for m=2n.
Moreover, it can be proved easily that .
Let . Then
7 students sent a solution. 5 points: Backhausz Tibor, Bodor Bertalan, Nagy 235 János, Nagy 314 Dániel, Tomon István. 0 point: 2 students.