00:01
Okay, let's do long division with this.
00:03
So let's start by checking and making sure there's no missing terms.
00:10
We've got x to the third, x to the second, x to the first, and a constant.
00:15
So i don't have to insert any zeros, and i'm dividing by 2x squared plus 5.
00:27
So we begin this by asking how many times does 2x squared go into 2x to the third? so that's the same as thinking about this, and the answer would be just x.
00:47
The twos make a one, and if i subtract the exponents, i just have one left over.
00:53
So that goes all the way over here, because everything has to line up.
00:59
X's go on top of x's.
01:01
X squared goes on top of x squared, and so on.
01:05
So then i multiply that answer times the divisor, and when i distribute, i get 2x cubed plus 5x.
01:20
So that goes here.
01:23
Again, being careful that everything lines up.
01:28
This would just be a 0x squared here.
01:32
So then we're going to subtract.
01:37
So these make a 0...