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

question 136

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) \(\frac { 7 } { x - 1 } + \frac { 1 } { ( x - 1 ) ^ { 2 } }\)

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