Use Synthetic Division to Express $P ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 } - 28 x + 63$

question 70

Multiple Choice

Use synthetic division to express $P ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 } - 28 x + 63$ in the form (divisor) (quotient) + remainder for the divisor x + 5.
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• A) \(( x + 5 ) \left( 2 x ^ { 2 } - 7 x + 28 \right) + 7\)
• B) \(( x + 5 ) \left( 2 x ^ { 2 } - 7 x + 7 \right) + 28\)
• C) \(( x - 5 ) \left( 2 x ^ { 2 } - 7 x + 7 \right) - 28\)
• D) \(( x + 5 ) \left( 28 x ^ { 2 } - x + 7 \right) + 28\)
• E)none of these

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Definitions:

Psychological Debriefing

A structured conversation following a traumatic event intended to help those affected process their experiences and reduce stress.

Eye Movement Desensitization

A therapeutic method, often used within the broader context of EMDR therapy, aimed at alleviating the distress associated with traumatic memories.

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A psychological technique aimed at helping individuals to re-examine and reinterpret past experiences from a new perspective.

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The awareness and understanding of oneself as a separate and distinct individual, including one's traits, beliefs, and personality.