Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 4 x ^ { 2 } + 2 x + 42 } { \left( x ^ { 2 } - 49 \right) ( x - 1 ) }$$

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 4 x ^ { 2 } + 2 x + 42 } { \left( x ^ { 2 } - 49 \right) ( x - 1 ) }$$

A) $\frac { 5 } { x ^ { 2 } - 49 } + \frac { - 1 } { x - 1 }$
B) $\frac { 2 } { x - 7 } + \frac { 3 } { x + 7 } + \frac { 1 } { x - 1 }$
C) $\frac { 5 } { x - 7 } + \frac { 3 } { x + 7 } + \frac { - 2 } { x - 1 }$
D) $\frac { 3 } { x - 7 } + \frac { 2 } { x + 7 } + \frac { - 1 } { x - 1 }$