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

Multiple Choice

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

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