Write the Form of the Partial Fraction Decomposition of the Rational

question 148

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 3 x + 5 } { ( x - 3 ) ( x + 1 ) }$$

• A) \(\frac { A } { x - 3 } + \frac { B } { x + 1 }\)
• B) \(\frac { A } { x - 3 } + \frac { B } { x + 1 } + \frac { C x + D } { ( x - 3 ) ( x + 1 ) }\)
• C) \(\frac { A } { x - 3 } + \frac { B } { x + 1 } + \frac { C } { ( x - 3 ) ( x + 1 ) }\)
• D) \(\frac { A } { x - 3 } + \frac { B } { x + 1 } + \frac { C } { ( x - 3 ) ^ { 2 } ( x + 1 ) ^ { 2 } }\)

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Definitions:

Revenue Tariff

A tariff designed to produce income for the federal government.

Import Quota

A government-imposed limit on the quantity of a specific type of good that can be imported into a country over a set period of time.

Protective Tariff

A tariff imposed by a country on imported goods to protect domestic industries from foreign competition by making imported goods more expensive.

Export Subsidy

A government policy to encourage export of goods and discourage sale within the domestic market through direct payments, tax relief for exporters, or subsidizing part of the cost.