SOLUTION: Partial Fraction Decomposition of {{{ (-x^2+3x+8)/(x^3+4x^2+4x) }}}

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Question 1055414: Partial Fraction Decomposition of
+%28-x%5E2%2B3x%2B8%29%2F%28x%5E3%2B4x%5E2%2B4x%29+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!


-x%5E2%2B3x%2B8=A%28x%2B2%29%5E2%2BBx%28x%2B2%29%2BCx
-x%5E2%2B3x%2B8=A%28x%5E2%2B4x%2B4%29%5E2%2BB%28x%5E2%2B2x%29%2BCx
So,
A%2BB=-1
4A%2B2B%2BC=3
4A=8
Then,
A=2
and
2%2BB=-1
B=-3
and
4%282%29%2B2%28-3%29%2BC=3
8-6%2BC=3
C=1
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