Which Fraction Appears in the Partial Fraction Decomposition Of $\frac { 5 x ^ { 2 } + 49 x + 108 } { x ( x + 6 ) ^ { 2 } }$

question 3

Multiple Choice

Which fraction appears in the partial fraction decomposition of $\frac { 5 x ^ { 2 } + 49 x + 108 } { x ( x + 6 ) ^ { 2 } }$ ?

• A) \(\quad \frac { 3 } { ( x + 6 ) ^ { 2 } }\)
• B) \(\frac { 1 } { x + 6 }\)
• C) \(\frac { 6 } { x }\)
• D) \(\frac { 9 } { x }\)
• E) \(\frac { 1 } { ( x + 6 ) ^ { 2 } }\)

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Definitions:

Rapid-change Industries

Industries characterized by fast-paced innovation and technological advancements, requiring companies to quickly adapt to maintain competitiveness.

Inventory Holding Costs

encompass all expenses related to storing unsold goods, including warehousing, insurance, depreciation, opportunity cost, and spoilage, significant in inventory management decisions.

Pilferage

The theft of small quantities of goods, typically from an employer or a retail setting, often considered a form of inventory shrinkage.