Write the Form of the Partial Fraction Decomposition of the Rational

question 51

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { 7 x ^ { 2 } + 6 } { ( x - 6 ) ^ { 3 } }$

• A) \(\frac { A } { ( x - 6 ) ^ { 3 } }\)
• B) \(\frac { 7 } { x - 6 } + \frac { 6 } { x - 6 } + \frac { 6 } { x - 6 }\)
• C) \(\frac { A } { x - 6 } + \frac { B } { ( x - 6 ) ^ { 2 } }\)
• D) \(\frac { A } { x - 6 } + \frac { B } { ( x - 6 ) ^ { 2 } } + \frac { C } { ( x - 6 ) ^ { 3 } }\)
• E) \(\frac { A } { 6 ( x - 6 ) } - \frac { B } { 7 ( x - 6 ) ^ { 2 } } - \frac { C } { 7 ( x - 6 ) ^ { 3 } }\)

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Definitions:

Cost-plus Pricing

A pricing strategy where a fixed percentage or specified amount is added to the production cost to determine the sell price of a product or service.

Return on Investment

A profitability metric calculated as the net gain from an investment relative to its initial cost, used to measure the efficiency or profitability of an investment.

Selling Price

The sum a purchaser spends to acquire a good or service from a vendor.

Absorption Costing

A cost accounting method that includes all manufacturing costs - direct materials, direct labor, and both variable and fixed manufacturing overhead - in the cost of a product.