# How do you write the polynomial function given the following zeros: -5i, -i, i, 2i?

##### 2 Answers

Sep 17, 2015

It is

where

Sep 17, 2015

If the polynomial also has Real coefficients, then it also has zeroes

The simplest such polynomial is:

#### Explanation:

The Complex zeroes of polynomials with Real coefficients always occur in conjugate pairs.

So in our example, since

Hence:

Any polynomial in