Find the Partial Fraction Decomposition for the Rational Expression $$\frac { - 5 x ^ { 2 } - 5 x + 6 } { ( x + 3 ) ^ { 2 } ( 3 x + 1 ) }$$

Find the partial fraction decomposition for the rational expression.
- $$\frac { - 5 x ^ { 2 } - 5 x + 6 } { ( x + 3 ) ^ { 2 } ( 3 x + 1 ) }$$

A) $\frac { 1 } { 3 x + 1 } + \frac { - 2 } { x + 3 } + \frac { 3 } { ( x + 3 ) ^ { 2 } }$

B) $\frac { 1 } { 3 x + 1 } + \frac { 2 } { ( x + 3 ) ^ { 2 } } + \frac { - 3 } { x + 3 }$

C) $\frac { 1 } { 3 x + 1 } + \frac { - 3 } { ( x + 3 ) ^ { 2 } } + \frac { - 2 } { x + 3 }$

D) $\frac { 1 } { 3 x + 1 } + \frac { 3 } { ( x + 3 ) ^ { 2 } } + \frac { 2 } { x + 3 }$

Correct Answer:

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