# How do you create a polynomial with Degree 4, 2 Positive real zeros, 0 negative real zeros, 2 complex zeros?

##### 1 Answer

Any polynomial which factors to the form

will satisfy the given conditions.

#### Explanation:

A simple way to creative a polynomial with certain desired zeros is to write it first in its factored form. For example, in this case, let's make a polynomial with the zeros

Note that the solutions to

are

Thus we know that

While the above works,