Let \(p(x) = x^3 + ax^2 + bx + c\) where a, b, and c are complex numbers. Suppose that \(p(2009 + 9002\pi i) = p(2009) = p(9002) = 0.\)What is the number of non real roots of \(x^{12} + ax^8 + bx^4 + c\)
There are six non-real roots.
