00:01
Okay, so let's suppose i'm setting up a partial fraction decomposition.
00:03
What is a partial fraction decomposition? well, i'm dividing two polynomials, so i have a rational expression, but i could break this up and do a couple of other values that i could factor.
00:15
So first thing i'm going to do, look at my denominator.
00:18
Can i factor x minus 4 anymore? no, can i factor x squared plus x plus 4? well, yeah, what multiplies to 4 but adds to 1? okay, what does multiply to four, but adds to one? well, two and two multiply to four, one and one.
00:37
Don't.
00:38
Okay, so actually, i can't factor this, and just to confirm this, i could use the discriminate here.
00:43
Right, i could do b squared minus four ac.
00:48
My b values one, one squared minus four times one times c.
00:52
This is going to be negative 15...