Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor $\frac { x ^ { 2 } + 4 x - 2 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }$

question 283

Multiple Choice

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $\frac { x ^ { 2 } + 4 x - 2 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }$

• A) \(\frac { 1 } { x ^ { 2 } + 3 } + \frac { 4 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• B) \(\frac { x + 1 } { x ^ { 2 } + 3 } + \frac { 4 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• C) \(\frac { 1 } { x ^ { 2 } + 3 } + \frac { - x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• D) \(\frac { - 1 } { x ^ { 2 } + 3 } + \frac { 4 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)

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