Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 100 - 15 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }$$

question 41

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 100 - 15 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }$$

• A) \(\frac { - 4 } { x } + \frac { 4 } { x - 5 } + \frac { 5 } { ( x - 5 ) ^ { 2 } }\)
• B) \(\frac { 4 } { x } + \frac { - 4 } { x - 5 } + \frac { 10 } { ( x - 5 ) ^ { 2 } }\)
• C) \(\frac { 4 } { x } + \frac { - 4 } { x - 5 } + \frac { 5 } { ( x - 5 ) ^ { 2 } }\)
• D) \(\frac { 4 } { x } + \frac { 5 } { x - 5 } + \frac { - 4 } { ( x - 5 ) ^ { 2 } }\)

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