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

question 90

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.
- $$\frac { 8 x ^ { 2 } + 15 x + 2 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

• A) \(\frac { 4 } { x + 2 } + \frac { 4 } { x + 1 } + \frac { - 5 } { ( x + 1 ) ^ { 2 } }\)
• B) \(\frac { - 4 } { x + 2 } + \frac { 4 } { x + 1 } + \frac { 5 } { ( x + 1 ) ^ { 2 } }\)
• C) \(\frac { 4 } { x + 2 } + \frac { - 4 } { x + 1 } + \frac { - 5 } { ( x + 1 ) ^ { 2 } }\)
• D) \(\frac { - 5 } { x + 2 } + \frac { 4 } { x + 1 } + \frac { - 4 } { ( x + 1 ) ^ { 2 } }\)

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