Let P be a polynomial of degree n with real coefficients such that at least n of its coefficients coincide and at most one of its coefficients is zero. Given that all n roots of P are real numbers find the maximal possible value of n.
Correct Solutions by,
- Toshihiro Shimizu Kawasaki, Japan
- Vekin Pirna Wisconsin, USA
- Ahmet Erçıkdı Ankara Fen Lisesi
- Baran Ali Tül Kadıköy Anadolu Lisesi
- Roger Bengtsson Lund, Sweden
- Magnus Jakobsson Lund, Sweden
Solution: http://www.fen.bilkent.edu.tr/~cvmath/Problem/2311a.pdf