Find the Partial Fraction Decomposition for the Rational Expression $$\frac { - 3 x ^ { 2 } - 5 x - 42 } { ( x - 3 ) \left( x ^ { 2 } + 3 \right) }$$

question 218

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { - 3 x ^ { 2 } - 5 x - 42 } { ( x - 3 ) \left( x ^ { 2 } + 3 \right) }$$

• A) \(\frac { 4 x + 7 } { x ^ { 2 } + 3 } + \frac { 7 } { x - 3 }\)
• B) \(\frac { 4 x + 7 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }\)
• C) \(\frac { 4 x + 8 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }\)
• D) \(\frac { 7 x + 4 } { x ^ { 2 } + 3 } + \frac { - 7 } { x - 3 }\)

Grasp the importance of the minimum required rate of return in investment decisions.

Understand how sales, contribution margin ratio, and fixed expenses impact investment opportunities.

Understand how to calculate Return on Investment (ROI) and interpret its value.

Understand the concept of residual income and how it is calculated.

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