Choose the One Alternative That Best Completes the Statement or Answers

question 102

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on.
- $$\frac { 7 x ^ { 5 } + 5 x ^ { 3 } + 7 x ^ { 2 } + 6 } { x ( x - 5 ) ^ { 3 } \left( x ^ { 2 } + 2 x + 5 \right) ^ { 2 } }$$

• A) \(\frac { A } { x } + \frac { B } { x - 5 } + \frac { C } { ( x - 5 ) ^ { 2 } } + \frac { D } { ( x - 5 ) ^ { 3 } } + \frac { E x } { x ^ { 2 } + 2 x + 5 } + \frac { F x } { \left( x ^ { 2 } + 2 x + 5 \right) ^ { 2 } }\)
• B) \(\frac { A } { x } + \frac { B } { x - 5 } + \frac { C } { ( x - 5 ) ^ { 2 } } + \frac { D } { ( x - 5 ) ^ { 3 } } + \frac { E } { x ^ { 2 } + 2 x + 5 } + \frac { F } { \left( x ^ { 2 } + 2 x + 5 \right) ^ { 2 } }\)
• C) \(\frac { A } { x } + \frac { B } { x - 5 } + \frac { C } { ( x - 5 ) ^ { 2 } } + \frac { D } { ( x - 5 ) ^ { 3 } } + \frac { E x + F } { x ^ { 2 } + 2 x + 5 } + \frac { G x + H } { \left( x ^ { 2 } + 2 x + 5 \right) ^ { 2 } }\)
• D) \(\frac { A } { x } + \frac { B } { ( x - 5 ) ^ { 3 } } + \frac { C x + D } { \left( x ^ { 2 } + 2 x + 5 \right) ^ { 2 } }\)

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