# How do you factor completely #12x^3-18x^2-8x+12#?

##### 1 Answer

In problems like this, look for the first 2 terms and the second 2 terms to have a common factor - this one factored completely results in

#### Explanation:

In a problem like this one, we look for the (generally first two) terms and the second two terms and find ways to factor each of them to create a common factor to them both.

In this problem, we can see that the first two terms have a similar pattern to them as do the second two terms. And in fact, once we start factoring, there will be a common factor to them both.

Let's take the first 2 terms:

Can we factor something out of the second 2 terms,

So right now we have

We can take the common factor

Let's factor out a 2 from the