Write the Partial Fraction Decomposition of the Rational Expression $\frac { 7 x - 8 } { ( x - 1 ) ^ { 2 } }$

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 7 x - 8 } { ( x - 1 ) ^ { 2 } }$

A) $\frac { 7 } { x - 1 } + \frac { 1 } { ( x + 1 ) ^ { 3 } }$
B) $\frac { 7 } { x - 1 } - \frac { 1 } { ( x + 1 ) ^ { 2 } }$
C) $\frac { 7 } { ( x - 1 ) ^ { 2 } } - \frac { 1 } { ( x - 1 ) ^ { 3 } }$
D) $\frac { 7 } { x - 1 } - \frac { 1 } { ( x - 1 ) ^ { 2 } }$
E) $\frac { 7 } { x - 1 } + \frac { 1 } { ( x - 1 ) ^ { 2 } }$