Write the Partial Fraction Decomposition of the Rational Expression $\frac { 5 x ^ { 2 } + 3 x - 1 } { x ^ { 2 } ( x + 1 ) }$

question 19

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 5 x ^ { 2 } + 3 x - 1 } { x ^ { 2 } ( x + 1 ) }$

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

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