Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor $$\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$$

question 145

Multiple Choice

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor
- $$\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$$

• A) \(\frac { A } { x + 4 } + \frac { B x + C } { x ^ { 2 } + x + 5 } + \frac { D x + E } { \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }\)
• B) \(\frac { A } { x + 4 } + \frac { B } { x ^ { 2 } + x + 5 } + \frac { C } { \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }\)
• C) \(\frac { \mathrm { A } } { \mathrm { x } + 4 } + \frac { \mathrm { B } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 5 } + \frac { \mathrm { Cx } + \mathrm { D } } { \left( \mathrm { x } ^ { 2 } + \mathrm { x } + 5 \right) ^ { 2 } }\)
• D) \(\frac { \mathrm { A } } { \mathrm { x } + 4 } + \frac { \mathrm { Bx } + \mathrm { C } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 5 }\)

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