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

question 144

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) $\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }$
- $\frac { 9 x ^ { 2 } - x - 16 } { x ^ { 3 } - x }$

• 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) \(\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }\)
• -\(\frac { 9 x ^ { 2 } - x - 16 } { x ^ { 3 } - x }\)
• A) \(\frac { 16 } { x } + \frac { - 3 } { x + 1 } + \frac { - 4 } { x - 1 }\)
• B) \(\frac { 16 } { x } + \frac { 3 } { x + 1 } + \frac { - 4 } { x - 1 }\)
• C) \(\frac { 16 } { x } + \frac { - 3 } { x + 1 } + \frac { 4 } { x - 1 }\)
• D) \(\frac { 16 } { x } + \frac { - 4 } { x + 1 } + \frac { 3 } { x - 1 }\)

---

Definitions:

Standard Deviation

An assessment of how much the values in a group differ or spread out.

Variance

A metric indicating how spread out a group of numbers is, determined by the mean of the squared deviations from the average.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in the dataset deviate from the mean.

Extreme Scores

Values in a data set that are significantly higher or lower than the majority of the data, potentially acting as outliers.