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

question 263

Multiple Choice

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

• A) \(\frac { - 4 } { x ^ { 2 } } + \frac { 4 } { \left( x ^ { 2 } + 3 \right) }\)
• B) \(\frac { 4 } { 3 x ^ { 2 } } + \frac { - 4 } { 3 \left( x ^ { 2 } + 3 \right) }\)
• C) \(\frac { 4 } { x ^ { 2 } } + \frac { - 4 } { \left( x ^ { 2 } + 3 \right) }\)
• D) \(\frac { - 4 } { 3 x ^ { 2 } } + \frac { 4 } { 3 \left( x ^ { 2 } + 3 \right) }\)

Comprehend how taxation interacts with inflation and nominal and real interest rates.

Evaluate the effects of inflation on consumer decisions and market efficiency.

Understand how inflation influences nominal and real gains in investments.

Describe the relationship between inflation, money growth rate, and nominal and real variables in the long run.

---

Definitions:

Times Interest Earned Ratio

A financial ratio that measures a company's ability to honor its debt payments by comparing its interest expense to its operating income.

Operating Cycle

The duration between the purchase of inventory by a business and the receipt of cash from accounts receivable, indicating the speed at which a company turns inventory into cash.

Equity Multiplier

A financial ratio that measures a company's leverage by comparing its total assets to its total equity.

Year 2

The second year in a specified timeframe, often used in financial and performance analysis.