Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 11 x ^ { 2 } + 21 x + 40 } { ( x + 4 ) \left( x ^ { 2 } + 6 \right) }$$

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 11 x ^ { 2 } + 21 x + 40 } { ( x + 4 ) \left( x ^ { 2 } + 6 \right) }$$

A) $\frac { 6 } { x + 4 } + \frac { 5 } { x ^ { 2 } + 6 }$
B) $\frac { 6 } { x + 4 } + \frac { 5 x - 1 } { x ^ { 2 } + 6 }$
C) $\frac { 6 } { x + 4 } + \frac { 5 } { x + 6 } + \frac { 1 } { ( x + 6 ) ^ { 2 } }$
D) $\frac { 6 } { x + 4 } + \frac { 5 x + 1 } { x ^ { 2 } + 6 }$