Ok so remember
if a+bi is a root, then a-bi is also a root
since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment
we find m=8
we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=
x=1+i or 1-i
m=8 and the other roots are
x=-2i, 1+i, 1-i
if a+bi is a root, then a-bi is also a root
since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment
we find m=8
we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=
x=1+i or 1-i
m=8 and the other roots are
x=-2i, 1+i, 1-i