This is my first post on here so let me begin by giving a hearty Hello to all!
On to the problem:
Find a nth-degree polynomial function w/real coefficients given the following conditions:
n=3 | 4 and 2i are zeros | f(2)=-16
I begin by creating a function from the zeros that are given and working backwards. Like this:
I included (x+2i) as well because if complex numbers appear in the zeros of the polynomial then they also have the complex conjugate.
Then I expand like so:
So now I just need to find ... I think I am suppose to plug 3 in for , since it is a 3rd degree polynomial, and then solve. I am not sure though. Any help would be appreciated.