Find the Partial Fraction Decomposition for the Rational Expression $\frac { - 31 x - 77 } { 2 x ^ { 2 } + 14 x + 20 }$

question 313

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $\frac { - 31 x - 77 } { 2 x ^ { 2 } + 14 x + 20 }$

• A) \(\frac { - 5 } { 2 x + 4 } + \frac { - 13 } { x + 5 }\)
• B) \(\frac { - 5 } { x + 4 } + \frac { - 13 } { 2 x + 5 }\)
• C) \(\frac { 5 } { 2 x + 4 } + \frac { 13 } { x + 5 }\)
• D) \(\frac { - 5 } { 2 x - 4 } + \frac { - 13 } { x - 5 }\)

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Definitions:

Constant Returns To Scale

When average costs are constant with respect to output level.

Economies Of Scale

Cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale.

Bottleneck Procedure

A method or process in manufacturing or production that significantly slows down or impedes overall workflow due to limited capacity or resources.

Economies Of Scale

Cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output generally decreasing with increasing scale.