SOLUTION: I couldn't find the proper place to submit this question, because you do not have a pre-calculus section on your website. Hopefully you can still answer this question. (9x^

Question 395282: I couldn't find the proper place to submit this question, because you do not have a pre-calculus section on your website. Hopefully you can still answer this question.
(9x^2-24x-57)/(x+1)(x+3)(x-5) It's a partial fraction decomposition problem. I haven't done any of these in a while, so I can't remember what to do with (9x^2-24x-57).
Thanks
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
set up the following equation

-
next multiply both sides by the common denominator (x+1)(x+3)(x-5)
-

-
at this point you can expand out all terms, then combined common terms and set correponding parts equal yielding a system of equation to solve for A,B and C
but another alternative is to select "convenient values of x and solve
--
x=-1:
9+24-57=-12A or A=-24/-12=2
x=-3:
81+72-57=72B or B=96/72=4/3
x=5:
225-120-57=48C or C=48/48=1
==
if I did my math correctly

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