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