00:01
Okay, to start this problem, i'm going to factor.
00:04
Now, the first step of factoring is always to look for the greatest common factor.
00:09
So i could pull negative 4 from the top and get 4x squared plus 4x minus 9.
00:25
I could pull an 8 from the bottom, which would give me this.
00:30
Now, i'm going to keep factoring on the top if i can, but in this case, it does not factor any further.
00:41
Okay, so nothing cancels out except i could do the negative 4 eighths to one half, but the vertical asymptote is what makes the denominator equal 0.
00:58
So what makes x minus 1 equal 0? that would be 1.
01:03
So the vertical asymptote is at x equals 1.
01:08
Now, we have to find the slant asymptote.
01:12
So to do that, i need to do long division.
01:15
So i'm going to go back to the original function, and i want to divide 8x minus 8 into negative 16x squared minus 16x plus 36.
01:29
Okay, so first i want to know how many times 8x goes into negative 16x squared...