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

Multiple Choice

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

A) $\frac { 3 } { x - 2 } + \frac { 2 } { x + 2 } + \frac { - 1 } { x - 1 }$

B) $\frac { 5 } { x - 2 } + \frac { 3 } { x + 2 } + \frac { - 2 } { x - 1 }$

C) $\frac { 5 } { x ^ { 2 } - 4 } + \frac { - 1 } { x - 1 }$

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