Answer:
[tex]-3-i[/tex]
Step-by-step explanation:
Complex conjugate root theorem states that if a+bi is a root for a function then its complex conjugate a-bi is also a root of the function.
Now given that -3+i is the root of a function .
The complex conjugate of the above complex number is -3-i.
(∵ Complex conjugate can be obtained by simply substituting i with -i in the given complex number )
By complex conjugate root theorem its complex conjugate -3-i is also a rot of the function.
