Using the Factor Theorem, it is found that the polynomial function is given by:
, in which a is the leading coefficient.
- The Factor Theorem states that a polynomial function with roots
is given by:
- In which a is the leading coefficient.
In this problem, we have that there is a:
- Zero at x = -2, hence
.
- Zero at x = 5, hence
.
- Zero at x = -3i, hence there also has to be a zero at it's conjugate x = 3i, hence
.
Then, the function is:
To learn more about the Factor Theorem, you can take a look at brainly.com/question/24380382