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

question 231

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.
- $$\frac { 6 x - 4 } { ( x - 4 ) \left( x ^ { 2 } + x + 6 \right) }$$

• A) \(\frac { A } { x - 4 } + \frac { B x + C } { x ^ { 2 } + x + 6 }\)
• B) \(\frac { A } { x - 4 } + \frac { B } { x ^ { 2 } + x + 6 }\)
• C) \(\frac { \mathrm { A } } { x - 4 } + \frac { \mathrm { B } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 6 } + \frac { \mathrm { C } } { ( \mathrm { x } - 4 ) \left( \mathrm { x } ^ { 2 } + \mathrm { x } + 6 \right) }\)
• D) \(\frac { \mathrm { A } } { \mathrm { x } - 4 } + \frac { \mathrm { Bx } + \mathrm { C } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 6 } + \frac { \mathrm { D } } { ( \mathrm { x } - 4 ) \left( \mathrm { x } ^ { 2 } + \mathrm { x } + 6 \right) }\) Write the partial fraction decomposition of the rational expression.

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