00:01
Okay, so i went ahead and factored both of the polynomials, both in the numerator and denominator.
00:06
So i get x minus 2x plus the one in the numerator, x minus 1, x minus 3 in the denominator.
00:12
So that gives me four critical points there, 2, negative 1, 1, and 3.
00:18
And that gives me 5 test intervals, negative infinity to negative 1, negative 1 to 1, 1 to 2, 2 to 3, and 3 to infinity.
00:27
So i have to plug in for each of the five intervals.
00:30
So when i plugged in negative 2 for the first interval, i ended up getting a positive.
00:34
So what we're looking for here is greater than zero.
00:37
So i'm looking for all of my positive intervals.
00:39
So i can use that one right here.
00:42
When i plugged in zero for the second test interval, i got a negative.
00:45
So that doesn't work.
00:47
When i plugged in one and a half for the third interval, i got a positive.
00:51
So i can use that one.
00:52
When i plugged in two and a half, i got a negative.
00:55
So i can't use that one...