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What Is the Remainder When the Polynomial p(x)=9x30025x3+x+1p ( x ) = 9 x ^ { 3002 } - 5 x ^ { 3 } + x + 1

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What is the remainder when the polynomial p(x) =9x30025x3+x+1p ( x ) = 9 x ^ { 3002 } - 5 x ^ { 3 } + x + 1 is divided by (x+1) ( x + 1 )
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Definitions:

Emotional Experience

The complex, subjective state involving thoughts, feelings, and physiological changes that respond to external or internal events.

James-Lange Theory

A theory suggesting that emotions are the result of physiological responses to external events, where our emotional experience arises from our recognition of bodily reactions.

Cannon-Bard Theory

A theory of emotion that posits emotions and physiological responses occur simultaneously, not sequentially.

Physiological Arousal

The physical state of being alert and engaged, often accompanied by increased heart rate, blood pressure, and energy as a response to a stimulus.

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