# What are all the possible rational zeros for #f(x)=x^3-9x^2+15x-2# and how do you find all zeros?

##### 1 Answer

#### Explanation:

The rational root theorem tells us that all the possible rational zeroes will be

In this case, we get:

If we plug these into our equation we see that

To find the remaining zeroes, we can divide by

This means that we can factor like so:

Since we already know

We can solve this by completing the square: