Write the Partial Fraction Decomposition of the Rational Expression $\frac { x + 1 } { x ^ { 2 } - 2 x - 8 }$

question 147

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { x + 1 } { x ^ { 2 } - 2 x - 8 }$

• A) \(\frac { 1 } { 6 } \left( \frac { 2 } { x - 4 } - \frac { 4 } { x + 2 } \right)\)
• B) \(\frac { 1 } { 2 } \left( \frac { 5 } { x - 4 } - \frac { 1 } { x + 2 } \right)\)
• C) \(\frac { 1 } { 6 } \left( \frac { 5 } { x - 4 } - \frac { 1 } { x + 2 } \right)\)
• D) \(\frac { 1 } { 4 } \left( \frac { 5 } { x - 4 } - \frac { 1 } { x + 2 } \right)\)
• E) \(\frac { 1 } { 6 } \left( \frac { 5 } { x - 4 } + \frac { 1 } { x + 2 } \right)\)

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Inventory Turnover

A measure of how many times a company's inventory is sold and replaced over a period, indicating the efficiency of inventory management.

Average Daily Cost

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Days' Sales

A financial metric that estimates the average time it takes a company to convert its inventory into sales.

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Direct expenses associated with creating the goods a company sells, including both materials and labor.