Answer:
Step-by-step explanation:
We want to write an equation for the polynomial function with roots;
and
Note that complex roots come in pairs and in conjugates.
Therefore
is also a root.
By the factor theorem:
(x-2), (x+3+5i), and (x+3-5i) are factors of the polynomial.
Let p(x) be the polynomial, then in factored form.
We expand now to get:
Simplify now
We expand further;