Write the Partial Fraction Decomposition of the Rational Expression $\frac { 11 x ^ { 2 } - x - 20 } { x ^ { 3 } - x }$

question 49

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 11 x ^ { 2 } - x - 20 } { x ^ { 3 } - x }$

• A) \(\frac { 20 } { x } + \frac { - 4 } { x + 1 } + \frac { 5 } { x - 1 }\)
• B) \(\frac { 20 } { x } + \frac { - 5 } { x + 1 } + \frac { 4 } { x - 1 }\)
• C) \(\frac { 20 } { x } + \frac { 4 } { x + 1 } + \frac { - 5 } { x - 1 }\)
• D) \(\frac { 20 } { x } + \frac { - 4 } { x + 1 } + \frac { - 5 } { x - 1 }\)

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Definitions:

Vasodilation

The widening of blood vessels, leading to increased blood flow and decreased blood pressure.

Homeostasis

The body’s tendency to maintain the conditions of its internal environment by various forms of self-regulation.

Positive Feedback

A process in which the end products of an action cause more of that action to occur in a feedback loop, amplifying the original action.

Drive Theory

is a psychological concept suggesting that behavior is motivated by the desire to meet basic biological needs or drives, such as hunger, thirst, or sex.