Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2, -4, and 1 + 3i (1 point)

Answer 1

Imaginary roots occur in conjugate pairs

Therefor the roots are

8 , -14, 3 + 9i and 3 - 9i

f(x) = (x - 8)(x + 14)(x - (3 + 9i))(x - (3 - 9i))

Which expands to

f(x) = x⁴ - 58x² + 1212x - 10080

Explanation: