Find the Partial Fraction Decomposition $$\frac { 5 x ^ { 2 } + 11 x + 8 } { x ^ { 3 } + 3 x ^ { 2 } + 3 x + 1 }$$

Multiple Choice

Find the partial fraction decomposition. (Hint: Use the rational zero theorem to factor the denominator.)
- $$\frac { 5 x ^ { 2 } + 11 x + 8 } { x ^ { 3 } + 3 x ^ { 2 } + 3 x + 1 }$$

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