When Writing the Solution to the Partial Fraction Decomposition Of \frac{x^{3}}{x^{2}-x-2}

question 49

Multiple Choice

When writing the solution to the partial fraction decomposition of $\frac{x^{3}}{x^{2}-x-2}$ what is the first step of this solution?

• A) \(\frac{x^{3}}{x^{2}-x-2}=\frac{A}{x-2}+\frac{B}{x+1}\)
• B) \(\frac{x^{3}}{x^{2}-x-2}=\frac{A x+B}{x-2}+\frac{C}{x+1}\)
• C) \(\frac{x^{3}}{x^{2}-x-2}=x+1+\frac{3 x+2}{x^{2}-x-2}\)
• D) \(\frac{x^{3}}{x^{2}-x-2}=x+\frac{3 x+2}{x^{2}-x-2}\)
• E) \(\frac{x^{3}}{x^{2}-x-2}=1+\frac{3 x+2}{x^{2}-x-2}\)

Investigate the theoretical and empirical arguments about the positive and negative effects of unions on labor markets.

Examine the outcomes of strikes and lockouts on workers, employers, and the broader economy.

Distinguish the mechanisms through which workers express dissatisfaction and the influence of unions on these processes.

Understand the distribution of union members across states in the United States.

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Definitions:

Cash Inflows

The total amount of money being transferred into a business, usually from operating, investing, and financing activities.

Discount Rate

The rate applied within discounted cash flow analysis for assessing the present worth of forthcoming cash flows.

Net Present Value

A method of evaluating investments by calculating the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Initial Investment

The initial amount of money spent to start a project, investment, or business, often including costs such as purchasing equipment, property, or technology.