# If a polynomial function with rational coefficients has the zeros 2-2i, 1-2i, 1+2i, what are the additional zeros?

##### 1 Answer

Apr 20, 2017

At least

#### Explanation:

**A polynomial function with rational coefficients always has pair of complex conjugate numbers as it's zeros**.

As the polynomial has the zeros

There could be more additional zeros, but they would have to be either rational numbers or pair of complex conjugate numbers.