Find the Partial Fraction Decomposition for the Rational Expression $\frac { 546 x ^ { 2 } + 78 x } { \left( x ^ { 2 } + 3 \right) ( x + 6 ) }$

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 546 x ^ { 2 } + 78 x } { \left( x ^ { 2 } + 3 \right) ( x + 6 ) }$

A) $\frac { 54 x + 492 } { x ^ { 2 } + 3 } + \frac { - 246 } { x + 6 }$
B) $\frac { 54 x } { x + 6 } + \frac { 246 } { x ^ { 2 } + 3 }$
C) $\frac { 54 x - 246 } { x ^ { 2 } + 3 } + \frac { 492 } { x + 6 }$
D) $\frac { 54 x - 246 } { x ^ { 2 } + 3 } + \frac { - 492 } { x + 6 }$