Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 4 x ^ { 2 } - x - 19 } { x ( x + 1 ) ( x - 1 ) }$$

question 94

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 4 x ^ { 2 } - x - 19 } { x ( x + 1 ) ( x - 1 ) }$$

• A) \(\frac { 19 } { x } + \frac { - 7 } { x + 1 } + \frac { 8 } { x - 1 }\)
• B) \(\frac { 19 } { x } + \frac { - 7 } { x + 1 } + \frac { - 8 } { x - 1 }\)
• C) \(\frac { 19 } { x } + \frac { - 8 } { x + 1 } + \frac { 7 } { x - 1 }\)
• D) \(\frac { 19 } { x } + \frac { 7 } { x + 1 } + \frac { - 8 } { x - 1 }\)

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Definitions:

Unlevered Cost of Capital

The cost of capital for a company without any debt, reflecting the required return on equity investments in a firm without leverage.

All Equity Firm

A company that finances its operations without any debt, using only its own equity.

Capital Structure

The mix of different forms of external funds used to finance a company's total capital, including debt and equity.

Coupon Rate

The annual yield paid on a bond, indicated as a percentage of its principal amount.