Write the Partial Fraction Decomposition of the Rational Expression $\frac { x + 1 } { x ^ { 2 } - 2 x - 8 }$

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { x + 1 } { x ^ { 2 } - 2 x - 8 }$

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