# How do you list all possible rational roots for each equation, use synthetic division to find the actual rational root, then find the remaining 2 roots for #x^3-2x^2+9x-18=0#?

##### 1 Answer

Jul 27, 2016

The list of possible root are the divisors of 18 :

Actually the polynomial given is factored quite easily

Hence the roots are

Using synthetic division we have that

```
1 -2 9 -18 | 2
1 -9 | 0
```

Hence