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

(x-4)(x+8)(x+(2+5i))(x+(2-5i))

Answer 2

just expand it out for standard form

Answer 3

it is the 4th degree

Answer 4

2+5i is complex and so you need to assume the conjugate complex which is 2-5i