Question

Let f(x) = x4 + ax3 + bx2 + c be a polynomial with real coefficients such that f(1) = -9. Suppose that $i\sqrt3$ is a root of the equation 4x3 + 3ax2 + 2bx = 0, where$i=\sqrt{-1}$ . If a1, a2, a3 and a4 are all the roots of the equation f(x) = 0, then |a1|2 + |a2|2 + |a3|2 + |a4|2 is equal to ______.

Answer 1

The correct answer is: 20.