Find the Partial Fraction Decomposition $\frac { 3 x ^ { 3 } + 13 x ^ { 2 } + 26 x + 7 } { x ( x + 1 ) ^ { 3 } }$

question 25

Multiple Choice

Find the partial fraction decomposition. $\frac { 3 x ^ { 3 } + 13 x ^ { 2 } + 26 x + 7 } { x ( x + 1 ) ^ { 3 } }$

• A) \(\frac { 7 } { x } + \frac { 4 } { x - 1 } + \frac { 9 } { ( x + 1 ) ^ { 3 } }\)
• B) \(\frac { 7 } { x } + \frac { 9 } { x + 1 } - \frac { 4 } { ( x + 1 ) ^ { 3 } }\)
• C) \(\frac { 7 } { x } - \frac { 4 } { x + 1 } + \frac { 9 } { ( x + 1 ) ^ { 2 } }\)
• D) \(\frac { 4 } { x } - \frac { 4 } { x + 1 } - \frac { 9 } { ( x + 1 ) ^ { 3 } }\)
• E) \(\frac { 7 } { x } - \frac { 4 } { x + 1 } + \frac { 9 } { ( x + 1 ) ^ { 3 } }\)

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