Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 12 x ^ { 2 } - 23 x + 5 } { ( x - 3 ) \left( x ^ { 2 } + 2 \right) }$$

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 12 x ^ { 2 } - 23 x + 5 } { ( x - 3 ) \left( x ^ { 2 } + 2 \right) }$$

A) $\frac { - ( 8 x + 1 ) } { x ^ { 2 } + 2 } + \frac { 4 } { x - 3 }$

B) $\frac { 8 x + 1 } { x ^ { 2 } + 2 } + \frac { 4 } { x - 3 }$

C) $\frac { 8 x + 4 } { x ^ { 2 } + 2 } + \frac { 1 } { x - 3 }$

D) $\frac { 8 x - 1 } { x ^ { 2 } + 2 } + \frac { - 4 } { x - 3 }$