Write the Partial Fraction Decomposition of the Rational Expression $$\frac { - 4 x ^ { 2 } - 6 x + 2 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

question 30

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { - 4 x ^ { 2 } - 6 x + 2 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

• A) \(\frac { - 2 } { x + 2 } + \frac { - 2 } { x + 1 } + \frac { 4 } { ( x + 1 ) ^ { 2 } }\)
• B) \(\frac { 2 } { x + 2 } + \frac { - 2 } { x + 1 } + \frac { - 4 } { ( x + 1 ) ^ { 2 } }\)
• C) \(\frac { 4 } { x + 2 } + \frac { - 2 } { x + 1 } + \frac { 2 } { ( x + 1 ) ^ { 2 } }\)
• D) \(\frac { - 2 } { x + 2 } + \frac { 2 } { x + 1 } + \frac { 4 } { ( x + 1 ) ^ { 2 } }\)

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Definitions:

Labor Productivity

The output of goods and services produced per unit of labor input, often used as an indicator of economic efficiency.

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The total number of people employed and unemployed, who are actively looking for work in an economy.

Population Growth

The growth in a population's size over a certain time frame.

Income Distribution

The way in which total income is shared among individuals or households in an economy.