Use Synthetic Division to Express $P ( x ) = 3 x ^ { 3 } - 16 x ^ { 2 } - 7 x - 55$

question 6

Multiple Choice

Use synthetic division to express $P ( x ) = 3 x ^ { 3 } - 16 x ^ { 2 } - 7 x - 55$ in the form $($ divisor) $($ quotient $) +$ remainder for the divisor $x - 6$ .

• A) \(\quad ( x - 6 ) \left( 3 x ^ { 2 } + 5 \right) - 25\)
• B) \(( x - 3 ) \left( 25 x ^ { 2 } + 2 x + 5 \right) - 25\)
• C) \(( x - 6 ) \left( 3 x ^ { 2 } + 2 x + 5 \right) - 25\)
• D) \(( x - 6 ) \left( 3 x ^ { 2 } + x + 5 \right)\)
• E) none of these

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Definitions:

Parallel Processing

A mode of information processing where multiple processes occur simultaneously, a concept widely used in computing and neural function of the brain.

Two-Track Mind

The concept that the human mind simultaneously processes information on two separate tracks, one conscious and analytical, and the other unconscious and automatic.

Unconscious Mind

The part of the mind that is inaccessible to the conscious mind but that affects behavior and emotions.

Defense Mechanisms

Unconscious mental tactics employed to shield oneself from the anxiety triggered by thoughts or feelings deemed unacceptable.