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

other root is \(2-5i\) so your job is to multiply out
\[(x-4)(x+8)(x-(2+5i))(x-(2-5i))\]

Answer 2

the first two are easy
you get
\[(-4)(x+8)=x^2+4x-32\]

Answer 3

\[(x-(2+5i))(x-(2-5i))\] this one is not as hard as it looks
do you know how to multiply it out easily?

Answer 4

guess we'll never know

Answer 5

im soory for not replying lol, but yes this actually helped thank you @satellite73