Write the Form of the Partial Fraction Decomposition of the Rational

question 218

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression $\frac { 6 x - 1 } { x \left( x ^ { 2 } - 16 \right) }$

• A) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C x + D } { x ^ { 2 } - 16 }\)
• B) \(\frac { A } { 6 x } + \frac { B x + C } { 6 ( x + 4 ) } + \frac { C x + D } { 6 ( x - 4 ) }\)
• C) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C x + D } { x - 16 }\)
• D) \(\frac { A } { x } + \frac { B } { x + 4 } + \frac { C } { x - 4 }\)
• E) \(\frac { A } { x } - \frac { B } { ( x + 16 ) ( x - 16 ) }\)

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