Question

what would be the polynomial function if the given zeros are -5+i and -5-i?

Answer 1

is it (-5x+i)(-5x-i)?

Answer 2

No agent!

If you're given with zeroes : a and b then the polynomial function is :

(x-a)(x-b) = 0

Here, you are given that : Zeroes => (-5-i) and (-5 + i )

So, it becomes :

(x-(-5-i))(x-(-5+i)) = 0

(x+ 5 + i ) ( x + 5 - i) = 0

Answer 3

Multiply : \((x+5+i)(x+5-i) \) and you will get your polynomial function having the zeroes : (-5 + i ) and (-5 - i)