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

question 251

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 1 } { 4 x ^ { 2 } + x }$

• A) \(\frac { 1 } { x } + \frac { 4 } { 4 x + 1 }\)
• B) \(\frac { A } { x } - \frac { 4 B } { 4 x + 1 }\)
• C) \(\frac { A } { x } + \frac { 4 B } { 4 x + 1 }\)
• D) \(\frac { 1 } { x } + \frac { 4 } { 4 x + 1 }\).
• E) \(\frac { 1 } { x } - \frac { 4 } { 4 x + 1 }\)

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Definitions:

Dividend Yield

A financial ratio that indicates how much a company pays out in dividends each year relative to its share price.

Common Stock

Represents ownership shares in a corporation, giving holders a claim on part of the company’s assets and earnings.

Net Income

Total income of the company after expenses, taxes, and any other costs are deducted from its revenue.

Preferred Dividends

Dividends that are paid to preferred shareholders at a fixed rate before any dividends are paid to common shareholders.