Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 14 x + 1 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 14 x + 1 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

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

B) $\frac { 5 } { x - 1 } + \frac { - 5 } { x + 1 } + \frac { 4 } { x - 1 }$

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

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