Find the Partial Fraction Decomposition $\frac { - 2 x ^ { 3 } - 5 x ^ { 2 } - 8 x - 15 } { x ^ { 4 } + 6 x ^ { 2 } + 9 }$

question 65

Multiple Choice

Find the partial fraction decomposition.
- $\frac { - 2 x ^ { 3 } - 5 x ^ { 2 } - 8 x - 15 } { x ^ { 4 } + 6 x ^ { 2 } + 9 }$

• A) \(\frac { - 2 x } { x ^ { 2 } + 3 } + \frac { - 2 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• B) \(\frac { - 2 } { x + 3 } + \frac { - 5 } { x - 3 } + \frac { - 2 x } { x ^ { 2 } + 3 }\)
• C) \(\frac { - 2 x - 5 } { x ^ { 2 } - 3 } + \frac { - 2 x } { x ^ { 2 } + 3 }\)
• D) \(\frac { - 2 x - 5 } { x ^ { 2 } + 3 } + \frac { - 2 x } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)

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Definitions:

Customer Orders

Requests made by customers for the purchase of goods or services offered by a business.

Demand Stability

The condition in which the demand for a product or service does not experience sudden large fluctuations over time.

Learning Within Organizations

Processes or activities through which individuals and groups acquire, share, and apply knowledge and skills to improve organizational effectiveness.

Bullwhip Effect

The phenomenon where small fluctuations in demand at the retail level cause progressively larger fluctuations in demand at the wholesale, distributor, and manufacturer levels.