polynomial
Source: Ireland 2007
July 6, 2009
algebrapolynomialVietaalgebra unsolved
Problem Statement
Let and be the roots of the cubic polynomial: p(x)\equal{}x^3\minus{}2007x\plus{}2002.
Determine the value of: \frac{r\minus{}1}{r\plus{}1}\plus{}\frac{s\minus{}1}{s\plus{}1}\plus{}\frac{t\minus{}1}{t\plus{}1}.