Find the Partial Fraction Decomposition $$\frac { 5 x - 2 } { x ^ { 3 } - 4 x } = \frac { A } { x } + \frac { B } { x + 2 } + \frac { C } { x - 2 }$$

question 183

Multiple Choice

Find the partial fraction decomposition.
- $$\frac { 5 x - 2 } { x ^ { 3 } - 4 x } = \frac { A } { x } + \frac { B } { x + 2 } + \frac { C } { x - 2 }$$

• A) \(\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = \frac { 3 } { 2 } , \mathrm { C } = 1\)
• B) \(\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = 1 , \mathrm { C } = \frac { 3 } { 2 }\)
• C) \(\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = 1 , \mathrm { C } = - \frac { 3 } { 2 }\)
• D) \(\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = - \frac { 3 } { 2 } , \mathrm { C } = 1\)

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