Write the Partial Fraction Decomposition of the Rational Expression $\frac { - 3 x ^ { 2 } - 3 x + 27 } { x ^ { 2 } ( x + 3 ) }$

question 48

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { - 3 x ^ { 2 } - 3 x + 27 } { x ^ { 2 } ( x + 3 ) }$

• A) \(\frac { 1 } { x + 3 } + \frac { 9 } { x ^ { 2 } }\)
• B) \(\frac { 1 } { x + 3 } - \frac { 4 } { x } + \frac { 2 } { x ^ { 2 } }\)
• C) \(\frac { 1 } { x + 3 } - \frac { 4 } { x } + \frac { 9 } { x ^ { 2 } }\)
• D) \(\frac { 1 } { x + 3 } + \frac { 4 } { x } - \frac { 9 } { x ^ { 2 } }\)
• E) \(\frac { - 3 } { x + 3 } - \frac { 3 } { x ( x + 3 ) } + \frac { 27 } { x ^ { 2 } ( x + 3 ) }\)

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