# How do you use synthetic division to find the zeroes of #f(x)= x^4 -3x^3-9x^2-3x-10#?

##### 1 Answer

The zeroes of

#### Explanation:

According to the rational root theorem, the rational roots of

So the only possible rational roots are

We have to test all eight possibilities.

Here are the only two that work.

and

So

That means that

We can use synthetic division to find the other factor.

The other factor is

So

and

The roots of