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 a function has an imaginary root, but it still has real coefficients then its conjugate must be another root. So the roots of the equation are 4, -8, 2+5i, and 2-5i. From that, you can construct the polynomial by expanding the product of the factors.