00:01
Okay, so we're going to construct the partial fraction decomposition of these two rational expressions.
00:06
The first one here, well, we're going to hopefully see if we can get this in a form where the denominator is in, with factors, because that's going to determine what our denominators are.
00:17
So this does factor, and it factors from x plus 5 to x minus 4, multiply that out, and that's what you get.
00:26
We then can construct the partial partial fraction decomposition, which means we're going to small.
00:30
Split this up into two fractions added together or subtracted with the numerators not unknowingly being variables.
00:36
I'm going to let them be a.
00:37
So we're going to put this over each particular root.
00:43
And if we find a and b, then we can get the partial fraction.
00:45
So this is the setup you use for...