MathDB

3

Part of 2002 USAMO

Problems(1)

USAMO 2002 Problem 3

Source:

9/30/2005
Prove that any monic polynomial (a polynomial with leading coefficient 1) of degree nn with real coefficients is the average of two monic polynomials of degree nn with nn real roots.
AMCPolynomialsUSAMOinequalitieslagrange s interpolation