Write an equation for the polynomial function that has 2 and -3 + 5i as zero

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;

i dont know

step-by-step explanation:

just needed some points but try socratic