Decompose P/Q, Where Q Has Repeated Linear Factors
Write the Form

question 125

Multiple Choice

Decompose P/Q, Where Q Has Repeated Linear Factors
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 2 x + 3 } { ( x + 4 ) ^ { 2 } }$$

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

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Definitions:

Spinal Cord

A vital part of the central nervous system, the spinal cord is a long, thin, tubular structure made of nervous tissue, which extends from the brain and is encased within the vertebral column, responsible for sending messages between the brain and the rest of the body.

Hormones

Biological molecules produced by glands that regulate bodily functions and behavior by traveling through the bloodstream to target organs.

Neurons

Nerve cells that transmit information throughout the body and brain, serving as the building blocks of the nervous system.

Reticular Formation

A structure in the brainstem that plays a crucial role in arousal and attention and that screens sensory messages entering the brain.