Write the Form of the Partial Fraction Decomposition for the Following

question 127

Multiple Choice

Write the form of the partial fraction decomposition for the following rational expression. $\frac { 7 x - 6 } { x \left( x ^ { 2 } + 10 \right) ^ { 2 } }$

• A) \(\frac { A } { x } + \frac { B x + C } { \left( x ^ { 2 } + 10 \right) ^ { 2 } }\)
• B)\(\frac { A } { x } + \frac { B } { x ^ { 2 } + 10 } + \frac { C } { \left( x ^ { 2 } + 10 \right) ^ { 2 } }\)
• C) \(\frac { A } { x } + \frac { B } { x + 10 } + \frac { C } { x - 10 }\)
• D) \(\frac { A } { x } + \frac { B } { x + 10 } + \frac { C } { ( x + 10 ) ^ { 2 } } + \frac { D } { x - 10 } + \frac { E } { ( x - 10 ) ^ { 2 } }\)
• E)\(\frac { A } { x } + \frac { B x + C } { x ^ { 2 } + 10 } + \frac { D x + E } { \left( x ^ { 2 } + 10 \right) ^ { 2 } }\)

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