Find the Partial Fraction Decomposition for the Rational Expression $$\frac { - 31 x - 77 } { 2 x ^ { 2 } + 14 x + 20 }$$

question 120

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { - 31 x - 77 } { 2 x ^ { 2 } + 14 x + 20 }$$

• A) \(\frac { 5 } { 2 x + 4 } + \frac { 13 } { x + 5 }\)
• B) \(\frac { - 5 } { x + 4 } + \frac { - 13 } { 2 x + 5 }\)
• C) \(\frac { - 5 } { 2 x - 4 } + \frac { - 13 } { x - 5 }\)
• D) \(\frac { - 5 } { 2 x + 4 } + \frac { - 13 } { x + 5 }\)

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Definitions:

Net Exports

The value of a country's total exports minus its total imports, representing the net spending on domestic goods and services by the rest of the world.

National Saving

The total amount of saving in a country, equal to the sum of private saving and public saving (or government surplus).

Domestic Investment

Domestic Investment involves the total spending on capital within a country, which includes the purchase of capital goods and investments in buildings and infrastructure.

Import Quota

A cap placed by the government on how much or how valuable the items being imported into a nation can be.