Write the Partial Fraction Decomposition of the Rational Expression $\frac { 80 - 14 x } { x ( x - 4 ) ^ { 2 } }$

question 149

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 80 - 14 x } { x ( x - 4 ) ^ { 2 } }$

• A) \(\frac { 5 } { x } + \frac { - 5 } { x - 4 } + \frac { 6 } { ( x - 4 ) ^ { 2 } }\)
• B) \(\frac { 5 } { x } + \frac { - 5 } { x - 4 } + \frac { 12 } { ( x - 4 ) ^ { 2 } }\)
• C) \(\frac { 5 } { x } + \frac { 6 } { x - 4 } + \frac { - 5 } { ( x - 4 ) ^ { 2 } }\)
• D) \(\frac { - 5 } { x } + \frac { 5 } { x - 4 } + \frac { 6 } { ( x - 4 ) ^ { 2 } }\)

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Definitions:

Objective Function

A mathematical function representing the goal of an optimization problem, typically minimized or maximized.

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