Give All Possible Rational Zeros for the Following Polynomial $$P ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 6 x - 24$$

question 315

Multiple Choice

Give all possible rational zeros for the following polynomial.
- $$P ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 6 x - 24$$

• A) \(\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 12 , \pm 24\)
• B) \(\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 24\)
• C) \(\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 8 , \pm 12 , \pm 24\)
• D) \(\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 8 , \pm 12 , \pm 24\)

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Definitions:

Physical Response

A bodily reaction to a stimulus, which could be anything from a reflex to a complex series of movements.

James-Lange Theory

A psychological theory suggesting that emotions occur as a result of physiological reactions to events.

Autonomic Responses

Involuntary physiological reactions mediated by the autonomic nervous system, such as heart rate, digestion, respiratory rate, pupillary response, urination, and sexual arousal.

James-Lange Theory

A theory of emotion proposing that emotions result from our interpretations of bodily reactions to stimuli.