Find the Partial Fraction Decomposition Of $\frac { x ^ { 2 } - 3 } { ( - 3 x + 5 ) \left( x ^ { 2 } - x + 6 \right) }$

question 34

Essay

Find the partial fraction decomposition of $\frac { x ^ { 2 } - 3 } { ( - 3 x + 5 ) \left( x ^ { 2 } - x + 6 \right) }$ .

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Definitions:

Aggregate Supply

The total supply of goods and services produced within an economy at a given overall price level and in a given time period.

Interest Rate Effect

The impact that changes in interest rates have on consumer spending due to the cost of borrowing; generally, as interest rates rise, consumer spending decreases.

Aggregate Demand

The cumulative need for all economic goods and services, pegged at a singular overall price level during a distinct time period.

Substantial Unemployment

A situation where there is a significantly high rate of unemployment in a particular area, reflecting a large number of people unable to find jobs.