Choose the One Alternative That Best Completes the Statement or Answers

question 63

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on.
- $\frac { 2 x ^ { 2 } - 7 x + 2 } { 4 x ^ { 3 } + 64 x }$

• A) \(\frac { A } { 4 x } + \frac { B } { x ^ { 2 } + 16 }\)
• B) \(\frac { A } { 4 x } + \frac { B } { x + 4 } + \frac { C } { x - 4 }\)
• C) \(\frac { A } { 4 x } + \frac { B x + \mathrm { C } } { x + 4 } + \frac { D x + E } { x - 4 }\)
• D) \(\frac { A } { 4 x } + \frac { B x + \mathrm { C } } { x ^ { 2 } + 16 }\)

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Definitions:

Limited Liability Company

A corporate structure that integrates the limited liability characteristic of a corporation with the tax-pass-through trait of sole proprietorships or partnerships.

Aggregate

A total or sum made from individual parts.

Legal Entity

An organization or structure that is recognized by law as having rights and responsibilities, such as entering into contracts, owning property, and being subject to litigation.

Limited Liability Company

A business structure that offers personal asset protection to its owners while allowing various tax benefits.