The roots of the quadratic equation z^2 + bz + c = 0 are -7 + 2i and -1 - 2i. What is b+c?
P(z) = z^2 + bz + c = (z - (-7 + 2i))(z - (-1 - 2i))
P(1) = b + c + 1 = (7 - 2i)(2 + 2i)
14 + 14i - 4i + 4 - 1
17 + 10i.
