Write the Partial Fraction Decomposition of the Rational Expression $\frac { 2 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

question 117

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 2 x ^ { 3 } + 4 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

• A) \(\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { 10 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• B) \(\frac { 2 x - 4 } { x ^ { 2 } + 5 } + \frac { - 10 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• C) \(\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { - 10 x - 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)
• D) \(\frac { 2 x + 4 } { x ^ { 2 } + 5 } + \frac { 10 x + 20 } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }\)

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Definitions:

Costly Trade Credit

Credit taken in excess of free trade credit whose cost is equal to the discount lost.

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This describes the period during which a buyer can delay payment for goods or services received, without incurring any penalty or interest cost.

DSO

Days Sales Outstanding (DSO) is a financial metric that calculates the average time in days that a company takes to collect payment after a sale has been made, indicating the efficiency of the company's credit and collections policies.

CCC

Cash Conversion Cycle, a metric that shows the time span between a company's outlay of cash for materials and receiving payment from the sale of goods.