00:01
In this problem, we're being asked to factor out the given expression.
00:03
Well, we're going to consider these first three factors one term.
00:06
Notice they're separated by a plus sign.
00:08
That's why it's one term.
00:10
And these last three factors are a separate term.
00:12
So what we factor, the first thing we need to do is factor out the greatest common factor.
00:16
So we'll start by looking at our monomial terms.
00:19
Well, five is the largest number that goes into 10 to 15, so we'll factor that out.
00:23
And then they both contain the variable x.
00:25
Remember, when factoring out the greatest common factor, we factor out the smaller amount, which in this case would simply just be x.
00:33
Now, let's look at our binomials.
00:35
Well, they both contain x squared plus one, one to the fourth and one to the fifth.
00:39
So remember, we factor out the smaller amount, which in this case would be x squared plus one to the fourth power.
00:45
Then we'll do the same thing with x cube plus one.
00:48
The first term is to the fifth power.
00:50
The second is to the fourth.
00:51
So we take out the smaller amount, which again would be to the fourth power.
00:56
All right, well now we have to figure out what's left.
00:58
So remember, we divide both our turns by our greatest common factor.
01:02
Well, 10x divided by 5x is just 2.
01:05
Then we had x squared plus 1 to the 4, but we took out x squared plus 1 to the 4, so that's gone.
01:11
And from the last one, oh, i realized i forgot the 4 here...