Write the Form of the Partial Fraction Decomposition of the Rational

question 43

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.​ $$\frac { 5 x - 1 } { x \left( x ^ { 2 } + 5 \right) }$$ ​

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

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