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=- 8x=4 x=2+5i
(x+8)(x-4)(x-(2+sqrt(-25))
x^2+4x-32(x-2+sqrt(-25))
x^3+4x^2-32x-2x^2+8x-64+x^2(5i)+4x5i-32(5i)
now simplify