00:01
So this question is saying that i have p of x to be 12x to the 4th plus 9x cubed plus 7x squared.
00:12
It's telling me i have d of x, which is 3x squared plus 1.
00:19
And it wants me to do long division to divide.
00:23
P of x divided by d of x.
00:26
So i'm going to do long division.
00:28
So i'm going to do 3x squared plus 1 goes into 12x to the fourth.
00:37
It's 9x cubed plus 7x squared.
00:42
And the first thing i'm going to do is i'm going to take the first term and the first term and divide them.
00:48
So 12 divided by 3 is 4.
00:51
X to 4th divided by x squared is x squared.
00:54
Now i'm going to multiply.
00:55
So i'm going to multiply 4x squared by this binomial.
00:59
So 4x squared times 3x squared is 12x to the fourth.
01:05
And these are the same thing.
01:06
So i know i'm on the right track.
01:07
It has to be the same thing.
01:09
If it's not the same thing, the leading coefficient and the variable with the export, and then i did something wrong.
01:14
I'm going to do 4x squared times 1, which is going to be 4x squared.
01:20
I'm going to make sure i write it with the correct terms.
01:26
And then i'm going to subtract.
01:27
So this cancels out.
01:28
And i'm going to do 4 minus 7 minus 4, which is 3.
01:35
And i'm going to bring down my 9x cubed, and i'm going to do it again...