Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 3i

Answer 1

It is good to know that when 2+3i is a zero, then 2-3i is also a zero...

Answer 2

but what do i do with the rest ? i really dont get it

Answer 3

You can now write down the factored form of the polynomial:

(x-4)(x+8)(x-2-3i)(x-2+3i)

After expanding you have the standard form...

Answer 4

Expanding hint: ((x-2)-3i)((x-2)+3i) is of the form (a-b)(a+b)=a²-b²