Decompose P/Q, Where Q Has Repeated Linear Factors
Write the Form

question 125

Multiple Choice

Decompose P/Q, Where Q Has Repeated Linear Factors
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 2 x + 3 } { ( x + 4 ) ^ { 2 } }$$

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

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