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 + 5i

Answer 1

If 2 + 5 i is a root, them 2-5i is also.

Answer 2

The answer should be
\[
(x-4) (x-(2+5 i)) (x-(2-5 i))
(x+8)
\]
Do you know how to expand it?

Answer 3

\[
(x-4) (x-(2+5 i)) (x-(2-5 i))
(x+8)=x^4-19 x^2+244 x-928
\]

Answer 4

what i dont understand is how there is a constant when 5i is part of it

Answer 5

\[
(x-(2+5 i)) (x-(2-5 i))=x^2-4
x+29
\]

Answer 6

Just expand it