polynomial to be killed
Source: Indonesia IMO 2010 TST, Stage 1, Test 5, Problem 2
November 12, 2009
algebrapolynomialinequalitiesalgebra proposed
Problem Statement
Consider a polynomial with coefficients of real numbers \phi(x)\equal{}ax^3\plus{}bx^2\plus{}cx\plus{}d with three positive real roots. Assume that , prove that 2b^3\plus{}9a^2d\minus{}7abc \le 0.
Hery Susanto, Malang