Use the Remainder Theorem and Synthetic Division to Find F(k) $k = 4 - 3 i ; f ( x ) = x ^ { 2 } + 2 x + 5$

question 461

Multiple Choice

Use the remainder theorem and synthetic division to find f(k) .
- $k = 4 - 3 i ; f ( x ) = x ^ { 2 } + 2 x + 5$

• A) \(20 - 18 \mathrm { i }\)
• B) \(- 10\)
• C) \(20 - 30 \mathrm { i }\)
• D) \(15 - 18 \mathrm { i }\)

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Definitions:

Antisocial Personality

A type of chronic mental disorder where a person's way of thinking, perceiving situations, and relating to others is dysfunctional and destructive.

Psychopaths

Individuals with a personality disorder characterized by persistent antisocial behavior, impaired empathy and remorse, and bold, disinhibited, and egotistical traits.

Sociopaths

Individuals with a personality disorder characterized by persistent antisocial behavior, impaired empathy, and often a lack of remorse.

Conduct Disorder

A mental disorder characterized by a repetitive and persistent pattern of behavior that violates the rights of others or social norms.