Write the Partial Fraction Decomposition of the Rational Expression $$\frac { x ^ { 2 } - 111 } { x ^ { 4 } - x ^ { 2 } - 72 }$$

question 57

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { x ^ { 2 } - 111 } { x ^ { 4 } - x ^ { 2 } - 72 }$$

• A) \(\frac { 1 } { x + 3 } - \frac { 1 } { x - 3 } - \frac { 7 } { x ^ { 2 } + 8 }\)
• B) \(\frac { 1 } { x + 3 } - \frac { 1 } { x - 3 } + \frac { 7 } { x ^ { 2 } + 8 }\)
• C) \(\frac { 1 } { x + 3 } + \frac { 1 } { x - 3 } + \frac { 7 } { x ^ { 2 } + 8 }\)
• D) \(\frac { 1 } { x + 3 } + \frac { 1 } { x - 3 } - \frac { 7 } { x ^ { 2 } + 8 }\)

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Definitions:

Raw Materials

Basic materials and substances used in the initial stages of production before being transformed into finished products.

Job-Order Costing

A costing method that assigns costs to specific production batches or jobs.

Overapplied Overhead

Occurs when the allocated overhead cost is more than the actual overhead cost incurred.

Cost of Goods Sold

The direct costs attributable to the production of the goods sold by a company, including the cost of materials and labor.