Find the Partial Fraction Decomposition for the Rational Expression $$\frac { - 3 x ^ { 2 } - 5 x - 42 } { ( x - 3 ) \left( x ^ { 2 } + 3 \right) }$$

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { - 3 x ^ { 2 } - 5 x - 42 } { ( x - 3 ) \left( x ^ { 2 } + 3 \right) }$$

A) $\frac { 4 x + 7 } { x ^ { 2 } + 3 } + \frac { 7 } { x - 3 }$
B) $\frac { 4 x + 7 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }$
C) $\frac { 4 x + 8 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }$
D) $\frac { 7 x + 4 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }$