Write the Form of the Partial Fraction Decomposition of the Rational

question 2

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants.​ $$\frac { 5 x + 4 } { ( x + 2 ) ^ { 4 } }$$ ​

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

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