Decompose P/Q, Where Q Has Only Distinct Linear Factors
Write $\frac { 6 x - 4 } { ( x + 6 ) ( x + 2 ) }$

question 15

Multiple Choice

Decompose P/Q, Where Q Has Only Distinct Linear Factors
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
1) $\frac { 6 x - 4 } { ( x + 6 ) ( x + 2 ) }$
A) $\frac { A } { x + 6 } + \frac { B } { x + 2 }$
B) $\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ( x + 2 ) }$
C) $\frac { \mathrm { A } } { x + 6 } + \frac { \mathrm { B } } { \mathrm { x } + 2 } + \frac { \mathrm { Cx } + \mathrm { D } } { ( \mathrm { x } + 6 ) ( \mathrm { x } + 2 ) }$
D) $\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }$
- $$\frac { 7 x + 5 } { x ^ { 2 } - 8 x + 15 }$$

• A) \(\frac { A } { x + 6 } + \frac { B } { x + 2 }\)
• B) \(\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ( x + 2 ) }\)
• C) \(\frac { \mathrm { A } } { x + 6 } + \frac { \mathrm { B } } { \mathrm { x } + 2 } + \frac { \mathrm { Cx } + \mathrm { D } } { ( \mathrm { x } + 6 ) ( \mathrm { x } + 2 ) }\)
• D) \(\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }\)
• -\[\frac { 7 x + 5 } { x ^ { 2 } - 8 x + 15 }\]
• A) \(\frac { A } { x - 3 } + \frac { B } { x - 5 }\)
• B) \(\frac { A } { x - 3 } + \frac { B } { x - 5 } + \frac { C } { x ^ { 2 } - 8 x + 15 }\)
• C) \(\frac { A } { x - 3 } + \frac { B } { x - 5 } + \frac { C x + D } { x ^ { 2 } - 8 x + 15 }\)
• D) \(\frac { A } { x - 3 } + \frac { B } { x - 5 } + \frac { C } { ( x - 3 ) ^ { 2 } ( x - 5 ) ^ { 2 } }\) Write the partial fraction decomposition of the rational expression.

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Definitions:

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