# How do you write a polynomial function with the given zeros 2 and 2i and degree 3?

##### 1 Answer

Mar 31, 2016

You need to write three factors:

#### Explanation:

Now, expand the expression:

Notice that the polynomial is of degree 3, called a "cubic".

Observe that the graph of the function only has one "zero" at 2. That is because the other two algebraic zeros are imaginary numbers, 2i and -2i, which can not be plotted on the real number coordinate plane: