Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 7 x ^ { 2 } - 7 x + 3 } { ( x - 1 ) ^ { 3 } }$$

question 9

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 7 x ^ { 2 } - 7 x + 3 } { ( x - 1 ) ^ { 3 } }$$

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

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