Question

The function
f(x)=x^4−10x^3+40x^2−80x+64
has four complex roots, one of which is 2−2i. What is the sum of all real and imaginary coefficients of these roots?

i here is imaginary unit i.e. i^2 = -1

Answer 1

It's a simple question and i hope that you should try a bit to solve it
although the answer is 10
it's a brilliant question ??

Answer 2

I got it its roots are 4 , 2, 2-2i, 2+2i