00:02
In order to start factoring this, we want to start with our greatest common factor or our gcf.
00:09
So i noticed that not all of the terms have a variable.
00:13
So our gcf could potentially be part of our coefficient.
00:18
Now, there doesn't always have to be a gcf, but in this case, looking at a 530, 15, and 90s, i know that the gcf or the greatest common factor is a 5.
00:28
So everything that's left after i factor out that gcf is going to go inside parentheses.
00:36
So in order to see what's left, i'm just going to divide each of those terms by the gcf.
00:41
I'm left with x cubed minus 6x squared minus 3x plus 18.
00:59
So now that we've factored out that gcf, we're just going to kind of.
01:04
Of ignore it until we get to the end of the problem.
01:07
It's just going to kind of follow us along.
01:10
When there are four terms that we're trying to factor, we're going to have to factor using grouping.
01:17
So i'm going to group my first two terms together and my second two terms together, and i'm going to look for a gcf within the two.
01:27
So in my first set, i've got x cubed minus 6x square.
01:33
So the only thing they have in common is an x.
01:36
More specifically, they have an x squared in common.
01:40
So out of these two terms, and i'm just going to ignore this gcf of 5 out front, we're going to bring him along with the end.
01:47
Okay, so out of these two terms, i'm going to factor out an x squared.
01:52
When i divide by x squared, i see that i have an x left minus 6, because x squared divided by x squared...