So here is this combined polynomial & complex numbers; I couldn't solve it!
F(z)= z^7 + a(6)*z^6 + a(5)*z^5 + a(4)*z^4 + a(3)*z^3 + a(2)*z^2 + a(1)*z^1+a(0)
It is given that z=-4-2i is a root of F(z),F'(z),F''(z) (I guess it's correct to say that z=-4+2i is also root for the three functions!)
a(0),,,,,,a(6) are all real numbers
What is the value of a(6) ?
**a(Number) indicates for index!