Write the Form of the Partial Fraction Decomposition of the Rational

question 99

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.
- $$\frac { 3 x + 4 } { ( x + 4 ) \left( x ^ { 2 } + x - 4 \right) ^ { 2 } }$$

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

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