Write the Form of the Partial Fraction Decomposition of the Rational

question 18

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants.​ $$\frac { x - 3 } { x ^ { 2 } + 7 x + 12 }$$ ​

• A) \(\frac { 3 } { x + 3 } + \frac { 3 } { x + 4 } + \frac { 3 } { x + 3 }\)
• B) \(\frac { 1 } { x + 3 } + \frac { 1 } { x + 4 }\)
• C) \(\frac { A } { x + 3 } - \frac { B } { x + 4 } + \frac { C } { x + 3 }\)
• D) \(\frac { A } { x - 3 } - \frac { B } { x - 4 } + \frac { C } { x - 4 }\)
• E) \(\frac { A } { x + 3 } + \frac { B } { x + 4 }\)

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Definitions:

Regulatory Molecules

Substances such as hormones or neurotransmitters that control or regulate the activity of cells or organs in the body.

Energy Metabolism

The set of chemical reactions that occur within a living organism to convert energy from food into a form that cells can use.

Neuropeptide Y

A neurotransmitter found in the brain and autonomic nervous system, involved in regulating a variety of physiological processes such as appetite, stress response, and circadian rhythms.

Leptin

A hormone produced by adipose (fat) cells that helps to regulate energy balance by inhibiting hunger.