Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { ( x + 1 ) ( a - x ) }$

question 164

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 1 } { ( x + 1 ) ( a - x ) }$

• A) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } - \frac { 1 } { a - x } \right)\)
• B) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } + \frac { 1 } { x } \right)\)
• C) \(\frac { 1 } { a } \left( \frac { 1 } { x + 1 } + \frac { 1 } { a - x } \right)\)
• D) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } + \frac { 1 } { a - x } \right)\)
• E) \(\frac { 1 } { a + 1 } \left( \frac { 1 } { x + 1 } - \frac { 1 } { a + x } \right)\)

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Definitions:

Second Quartile

Also known as the median; it splits the data set into two halves, with 50% of the data below it and 50% above it.

Relative Standing

A measure or ranking of a value or observation within the context of a larger set of data or population.

Observation

An act of recording the occurrence or existence of a specific entity or phenomenon.

Box and Whisker Plot

A graphical representation of data that highlights the median, quartiles, and extremes of the dataset.