Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 7 x ^ { 2 } - 36 x + 38 } { ( x - 6 ) \left( x ^ { 2 } + 1 \right) }$$

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 7 x ^ { 2 } - 36 x + 38 } { ( x - 6 ) \left( x ^ { 2 } + 1 \right) }$$

A) $\frac { 2 } { x - 6 } + \frac { 5 x - 6 } { x ^ { 2 } + 1 }$
B) $\frac { 2 } { x - 6 } + \frac { 5 x + 6 } { x ^ { 2 } + 1 }$
C) $\frac { 2 } { x - 6 } + \frac { 5 } { x ^ { 2 } + 1 }$
D) $\frac { 2 } { x - 6 } + \frac { 5 } { x + 1 } + \frac { - 6 } { ( x + 1 ) ^ { 2 } }$