MathDB
Squared Roots

Source:

March 2, 2008
algebrapolynomialVietafunction

Problem Statement

Let f(x) \equal{} x^3 \plus{} x \plus{} 1. Suppose g g is a cubic polynomial such that g(0) \equal{} \minus{} 1, and the roots of g g are the squares of the roots of f f. Find g(9) g(9).