IMO Shortlist 1973 problem 16


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 0,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
Given a, \theta \in \mathbb R, m \in \mathbb N, and P(x) = x^{2m}- 2|a|^mx^m \cos \theta +a^{2m}, factorize P(x) as a product of m real quadratic polynomials.
Izvor: Međunarodna matematička olimpijada, shortlist 1973