00:01
All right, today we're looking at factoring out the greatest common factor.
00:05
First thing we can look at is recognizing that there are two xs here and one x in this one.
00:11
So when we're talking about greatest common factor, we're talking about what is the greatest thing i can take out of both of these terms, right? so since this has two x's, i'm going to write it like this for a second, and this has one.
00:24
That means the only one in common i have is one of the x's.
00:28
All right.
00:29
So i don't have two x is in common.
00:31
I only have one x.
00:32
So i can take out one x.
00:34
I know that there's going to be one left.
00:37
And i know this one actually isn't going to have any.
00:40
You might be like, well, does that mean this whole thing is zero? no, when we're factoring, we are dividing.
00:45
So really we're saying x squared divided by x, which is why we end up with an x and x divided by x, which is why we end up with a one here, okay? which we won't end up with a one, but it'll be like times a one.
00:56
Now the next part of the numbers.
00:58
So we're looking.
00:59
For three and six terms that can divide into both of them.
01:04
Obviously, the only thing that three can divide by is three, and six can be divided by three.
01:09
So both of those, once again, dividing by, we can take out a three...