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

question 14

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $\frac { 2 x } { ( x - 2 ) ^ { 2 } }$ ​

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

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Definitions:

Stock Split

A company strategy to divide its existing shares into a larger number of shares to enhance the liquidity of the shares.

Market Price

The now prevailing cost at which one can buy or sell an asset or service.

Shares Outstanding

The total number of shares of stock that are currently owned by shareholders, including share blocks held by institutional investors and restricted shares owned by company officers and insiders.

Stock Split

An action taken by a company to divide its existing shares into multiple shares to boost the liquidity of the shares, while keeping the market capitalization the same.