SOLUTION: What is the value of A, B, and C if: (A / (x+1)) + (B / (x+2)) + (C / (x-3)) = (2x²-6x +6) / ((x-1)(x-2)(x-3))

Question 1184482: What is the value of A, B, and C if:
(A / (x+1)) + (B / (x+2)) + (C / (x-3)) = (2x²-6x +6) / ((x-1)(x-2)(x-3))
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

I'll bet this was a partial fraction problem and you copied the wrong
denominators either on the left side or the right side. However, I'll
solve the problem that you posted anyway:

Substituting x=0 and simplifying











Substituting x=4 and simplifying









Substituting x=-3 and simplifying

















Solve the system:



Solve that system and get 

, , 

Then your answer would be:





But I'll bet you you copied those denominators wrong!!!!

Edwin

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