Ok. I gotta do the fraction decomposition of
.
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My problem is when I get to the part where I figure out what goes into A-E. I'll show the work I have right now below.
Given the highest power of the numerator is . I'm really at a lost what to do from here. I'm not even sure if I'm doing it right. So some help would be greatly appreciated
EDIT: I'm gonna go rework this, something tells me I'm really close to the answer.
is an identity, true for all values of x.
So it has to be true in particular for convenient simple values of x like x = 0. So substitute x = 0:
The left hand side becomes 6(0)^2 + 1 = 1.
The right hand side becomes B(-1)^3 = -B.
This idea can sometimes be a good short cut for getting the values of A, B etc. rather than expanding, equating coefficients, writing down and then solving simultaneous equations etc.