Write the Partial Fraction Decomposition of the Rational Expression $\frac { 5 - x } { 2 x ^ { 2 } + x - 1 }$

question 124

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 5 - x } { 2 x ^ { 2 } + x - 1 }$

• A) \(\frac { 3 } { 2 x - 1 } - \frac { 2 } { x + 1 }\)
• B) \(\frac { 3 } { 2 x + 1 } + \frac { 2 } { x + 1 }\)
• C) \(\frac { 3 } { 2 x - 1 } - \frac { 2 } { x - 1 }\)
• D) \(\frac { 3 } { 2 x - 1 } + \frac { 2 } { x + 1 }\)
• E) \(\frac { 3 } { 2 x + 1 } - \frac { 2 } { x + 1 }\)

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Definitions:

Large Inventories

Holding significant amounts of stock to handle demand fluctuations, reduce reorder frequency, or ensure product availability.

Supply Chain Costs

The total expenses incurred in the operation of a supply chain, including production, storage, transportation, and distribution costs.

Tailored Postponement

A supply chain strategy that involves delaying the final stages of production or customization of a product until customer demand is better understood.

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A financial metric indicating the extent to which a company or business generates more revenue than its costs; the capability to generate profit.