Question 467157: Partial fraction decomposition:
Here's what I got but I think it is wrong:
A(x+1)(x+1)^2 + B(x)(x+1)^2 + C(x)(x+1)
(5x^2+20x+6)=x^3(A+B) + x^2(3A+2B+C) + x(3A+B+C) + A
But this isn't right. Where did I go wrong? Answer by robertb(4012) (Show Source):
You can put this solution on YOUR website! should have been written as , and then equated to . Compare term-by-term to get the system
A + B = 5,
2A + B + C = 20,
A = 6.
==> B = -1, and C = 9.