Find the Partial Fraction Decomposition for the Rational Expression $$\frac { - 2 x ^ { 2 } + 3 x + 8 } { ( x + 1 ) ^ { 2 } ( 3 x + 4 ) }$$

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { - 2 x ^ { 2 } + 3 x + 8 } { ( x + 1 ) ^ { 2 } ( 3 x + 4 ) }$$

A) $\frac { 4 } { 3 x + 4 } + \frac { 2 } { ( x + 1 ) ^ { 2 } } + \frac { - 3 } { x + 1 }$
B) $\frac { 4 } { 3 x + 4 } + \frac { - 3 } { ( x + 1 ) ^ { 2 } } + \frac { - 2 } { x + 1 }$
C) $\frac { 4 } { 3 x + 4 } + \frac { 3 } { ( x + 1 ) ^ { 2 } } + \frac { 2 } { x + 1 }$
D) $\frac { 4 } { 3 x + 4 } + \frac { - 2 } { x + 1 } + \frac { 3 } { ( x + 1 ) ^ { 2 } }$