Use Synthetic Division $$f ( x ) \text { by } x - k \text { for the given value of } k \text {. Then express } f ( x ) \text { in the form } f ( x ) = ( x - k ) q ( x ) + r$$

question 11

Multiple Choice

Use synthetic division $$f ( x ) \text { by } x - k \text { for the given value of } k \text {. Then express } f ( x ) \text { in the form } f ( x ) = ( x - k ) q ( x ) + r$$ for the given value of k.
- $f ( x ) = 3 x ^ { 5 } + 4 x ^ { 4 } + 2 x ^ { 2 } - 1 ; \quad k = - 2$

• A) \(f ( x ) = ( x + 2 ) \left( 3 x ^ { 4 } - 2 x ^ { 3 } + 6 x ^ { 2 } - 12 \right) + 23\)
• B) \(f ( x ) = ( x + 2 ) \left( 3 x ^ { 4 } - 2 x ^ { 3 } + 4 x ^ { 2 } - 6 x + 12 \right) - 25\)
• C) \(f ( x ) = ( x + 2 ) \left( 3 x ^ { 4 } - 2 x ^ { 3 } + 4 x ^ { 2 } + 6 \right) - 13\)
• D) \(f ( x ) = ( x + 2 ) \left( 3 x ^ { 4 } + 2 x ^ { 3 } + 4 x ^ { 2 } + 8 x \right) - 15\)

Appreciate the complexities of social impact theories, including dynamic social impact theory.

Recognize the sources of social influence and their roles in shaping behavior within groups.

Evaluate the conditions under which minority views influence group decisions and their resultant societal implications.

Understand the concepts of idiosyncrasy credits and their relevance in social hierarchies and influence.

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Definitions:

Semantic Memory

A branch of long-term memory involved in the storage of factual information, concepts, and knowledge about the external world.

Retention

The ability to maintain or preserve information over time, critical to learning and memory processes in the brain.

Post-Traumatic Stress Disorder

A mental health condition triggered by experiencing or witnessing a terrifying event, leading to lasting symptoms of anxiety and distress.

Adaptive Neural Network

A neural network that can adjust its structure and function in response to changing information or environments, enhancing learning and decision-making processes.