00:01
We're being asked to factor the given expression.
00:02
Remember, when you factor, you should always start by looking for a greatest common factor, but we don't have one.
00:07
And i notice we have four terms here.
00:09
So we want to try and factor by grouping.
00:11
So we're going to start by splitting the problem in half, and we'll look at the first two terms and factor out the greatest common factor, which happens to be x squared.
00:21
So now we'll divide.
00:22
Well, 2x to the 3rd divided by x squared is 2x, and x squared divided by x squared is 1.
00:29
Now we're going to do the same thing for the last two terms.
00:32
We're going to factor out the greatest common factor, which is negative 4.
00:36
Now we're going to divide.
00:37
Negative 8x divided by negative 4 is 2x, and negative 4 divided by negative 4 is positive 1.
00:44
Now, as you can see, both terms contain this common factor of 2x plus 1...