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

question 268

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) $\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }$
- $$\frac { 11 x - 19 } { ( x - 1 ) ( x - 2 ) }$$

• 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) \(\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }\)
• -\[\frac { 11 x - 19 } { ( x - 1 ) ( x - 2 ) }\]
• A) \(\frac { 8 } { x - 1 } + \frac { 3 } { x - 2 }\)
• B) \(\frac { 10 } { x - 1 } + \frac { 1 } { x - 2 }\)
• C) \(\frac { 7 } { x - 1 } + \frac { 4 } { x - 2 }\)
• D) \(\frac { 8 } { x - 1 } + \frac { - 3 } { x - 2 }\)

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Definitions:

Circular Differentiation

The process of distinguishing entities or elements in a system based on their roles, attributes, or positions in a circular, rather than linear, hierarchy.

Lateral Differentiation

The way in which an organization segregates its operations and responsibilities across the same hierarchical level.

Standardization

The process of implementing and developing technical standards to ensure consistency and compatibility within products, services, or processes.

Formalization

The degree to which the organization has official rules, regulations, and procedures.