# How do you find the polynomial function with roots #-1/2, 1/4, 1, 2#?

##### 1 Answer

Nov 23, 2015

#### Explanation:

Consider the equation

To figure out what

To answer your question, we use this process in reverse.

If we know one of the roots of the polynomial is

We can use the same logic for each of the roots:

Then, we multiply them:

If we foil, we find that