Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

5, -3, and -1 + 3i

Answer 1

If -1 + 3i is a root, then -1 - 3i is a root too.

to get the function:

f(x) = (x - 5)(x - (-3))(x - (-1 + 3i))(x - (-1 - 3i))

Multiply it out.