Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor $$\frac { - 2 x + 28 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 4 \right) }$$

question 280

Multiple Choice

Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { - 2 x + 28 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 4 \right) }$$

• A) \(\frac { 2 } { x + 1 } + \frac { 6 } { ( x + 1 ) ^ { 2 } } + \frac { - 2 x - 4 } { x ^ { 2 } + 4 }\)
• B) \(\frac { 2 } { x + 1 } + \frac { 6 } { ( x + 1 ) ^ { 2 } } + \frac { - 2 } { x ^ { 2 } + 4 }\)
• C) \(\frac { 2 } { x + 1 } + \frac { 2 } { ( x + 1 ) ^ { 2 } } + \frac { - 2 x + 4 } { x ^ { 2 } + 4 }\)
• D) \(\frac { 2 x + 4 } { ( x + 1 ) ^ { 2 } } + \frac { - 2 x - 4 } { x ^ { 2 } + 4 }\)

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