Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 5 } { x ^ { 2 } + 5 x }$$

question 13

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $$\frac { 5 } { x ^ { 2 } + 5 x }$$ ​

• A) \(\frac { A } { x } + \frac { B } { x - 5 }\)
• B) \(\frac { 1 } { x } - \frac { 1 } { x + 5 }\)
• C) \(\frac { 1 } { x } + \frac { 1 } { x + 5 }\)
• D) \(\frac { A } { x } - \frac { B } { x - 5 }\)
• E) \(\frac { 1 } { x } - \frac { 1 } { x - 5 }\)

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Definitions:

Terminal Distance

The total distance from the beginning to the end of a process, pathway, or transportation route.

Trips

The act of going from one place to another, often implying a short journey for a specific purpose or task.

Terminals

End points for data transmission, or facilities where cargo containers and goods are transferred between different modes of transportation.