Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor $$\frac { 3 x - 1 } { \left( x ^ { 2 } + x + 1 \right) ^ { 2 } }$$

question 269

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.
- $$\frac { 3 x - 1 } { \left( x ^ { 2 } + x + 1 \right) ^ { 2 } }$$

• A) \(\frac { A x + B } { x ^ { 2 } + x + 1 } + \frac { C x + D } { \left( x ^ { 2 } + x + 1 \right) ^ { 2 } }\)
• B) \(\frac { \mathrm { A } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 1 } + \frac { \mathrm { Bx } + \mathrm { C } } { \left( \mathrm { x } ^ { 2 } + \mathrm { x } + 1 \right) ^ { 2 } }\)
• C) \(\frac { \mathrm { A } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 1 } + \frac { \mathrm { B } } { \left( \mathrm { x } ^ { 2 } + \mathrm { x } + 1 \right) ^ { 2 } }\)
• D) \(\frac { A x + B } { x ^ { 2 } + x + 1 } + \frac { C } { \left( x ^ { 2 } + x + 1 \right) ^ { 2 } }\)

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