finding function given zeros of -1, 2, 3 + i, and 3 - i

[zooanimal98]

i have to write a function gven the following zeros:

-1, 2, 3+i, 3-i

i know this: the highest exponent will be to the 4th
the factors are: (x+1), ( x-2), and the other two i am not to sure...

as you can see, i am stuck

can anybody help

 

[wjm11]

Re: writing functions giving zeros

i have to write a function gven the following zeros:

-1, 2, 3+i, 3-i

i know this: the highest exponent will be to the 4th
the factors are: (x+1), ( x-2), and the other two i am not to sure...

The factors are just (x-"the zero"); this applies even to the complex roots. For example, if 3-i is a zero, then (x-(3-i)) is a factor. Of course, you can rewrite it as (x-3+i) if you like.

So the function would be f(x) = (x+1)(x-2)(x-3+i)(x-3-i)

Make sense?