Write the Form of the Partial Fraction Decomposition of the Rational

question 84

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { x - 3 } { 6 x ^ { 3 } + 24 x }$

• A) \(\frac { x - 3 } { 6 x ^ { 3 } } + \frac { B } { 24 x }\)
• B) \(\frac { A } { 6 x } + \frac { B } { 6 x ^ { 2 } } + \frac { C } { 4 x }\)
• C) \(\frac { A } { 6 x } - \frac { B x + C } { x ^ { 2 } + 4 } + \frac { D } { 6 x ^ { 3 } + 24 x }\)
• D) \(\frac { A } { 6 x } + \frac { B x + C } { x ^ { 2 } + 4 }\)
• E) \(\frac { A } { 6 x } + \frac { B } { x + 4 } + \frac { C } { x + 4 }\)

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Definitions:

Straight-Line Method

A technique for calculating depreciation or amortization that uniformly distributes the cost of an asset across its lifespan.

Depreciation Expense

The allocation of the cost of a tangible fixed asset over its useful life, reflecting the asset's consumption, wear and tear, or obsolescence.

Installation Costs

Expenses related to setting up or installing equipment, machinery, or other assets for operational use.

Capitalize

The process of recording an expenditure as an asset on a balance sheet, rather than expensing it immediately, spreading its cost over its useful life.