The polynomial f(x) = x^3 + x^2 - 2x - 3 has three distinct roots. Let g(x) = x^3 + bx^2 + cx + d be a cubic polynomial with leading coefficient 1 such that the roots of g(x) are the squares of the roots of f(x). Find the ordered triple (b,c,d).
The answer is (b,c,d) = (-2,8,15).
