# How do you determine whether x-1 is a factor of the polynomial #3x^3-x-3#?

##### 1 Answer

Jan 19, 2017

#### Explanation:

In general, if

So in our example, we find:

#f(color(blue)(1)) = 3(color(blue)(1)^3)-color(blue)(1)-3 = 3-1-3 = -1 != 0#

So

**Footnote**

If you want to quickly check whether

This is the same as evaluating the polynomial for

You can also check whether