00:01
So we're going to determine if these are factors of this f of x equation.
00:08
So to start, we are going to set up our synthetic long division.
00:18
Once we have that set up, then we can go through.
00:20
If we end up with a remainder of zero, then it is a factor.
00:24
If we have a remainder, then it is not a factor.
00:28
So in order to get x cubed, we need x squared.
00:32
So x squared times x is x cubed.
00:35
Plus 3x squared.
00:40
And if we subtract that, this will be 0.
00:43
Negative 3x squared minus 3x is a negative 6x squared minus 13x plus 15.
00:52
So now we'll take a look at this value, negative 6x squared.
00:57
In order to get that, we're going to need to multiply by a negative.
01:01
And we are going to need to multiply by 6x.
01:07
So negative 6x.
01:10
Squared minus 18x and we'll subtract that.
01:17
This goes out to zero and then we have a negative 13x minus negative 18 so that turns into positive.
01:25
So this will end up being a positive 5x plus 15.
01:32
And in order to get 5x, we already have our x so we'll just do two multiply by a positive five...