Thread: complex numbers equation

Hi,

I have

I also know that z = -2-2i is one root, and since this is an equation with real coefficients another root is -2+2i. So i need to find the third root

Is there an easier way of solving this, other than polynomial division?

Originally Posted by Jones

I have
I also know that z = -2-2i is one root, and since this is an equation with real coefficients another root is -2+2i. So i need to find the third root

Look at this.

So just expand the brackets and replace z with a+bi ?