Question

i don't understand this question can someone help me ? 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 + 5i

Answer 1

If 2 + 5 i is a root then 2-5i is a root.

Answer 2

(x-4)(x+8)( x -2 - 5i)(x-2+5i)
expand and you are done

Answer 3

You will get
\[
x^4-19 x^2+244 x-928
\]