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

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

$$
(x-4) (x-(2+5 i)) (x-(2-5 i))
   (x+8)=x^4-19 x^2+244 x-928
$$

anonymous · Answer

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

anonymous · Answer

$$
(x-(2+5 i)) (x-(2-5 i))=x^2-4
   x+29
$$

anonymous · Answer

Just expand it