Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 2,-12 and 5+2i

Answer 1

If \(5+2i\) is a root, so is \(5-2i\).

Answer 2

In our case: \[
(x-2)(x-(-12))(x+(5+2i))(x-(5-2i))
\]