00:01
In a rational function, i'm a huge fan of factoring when you can.
00:04
So you have this x cubed plus 3x squared over x squared minus 4.
00:11
So i'm going to use this, but i'm also going to write out that in the numerator, you could factor out an x squared, and you're left with x plus 3.
00:22
And in the denominator, you have what is called a difference of squares.
00:26
A difference means subtraction and squared numbers.
00:34
And what i'm talking about is x times x and 2 times 2.
00:39
In order to make it negative 4 of those, make 1 minus, make 1 plus.
00:43
So your vertical asymptotes are any non -canceling factors in the denominator.
00:52
In the denominator.
00:53
Well, neither of none of those three or four things cancel.
00:56
So therefore, our vertical asymptote would be at x equals negative 2, because of this is negative 2, negative 2 plus 2 is 0, and you can't divide by 0...