Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = - 6 x ^ { 3 } + 2 x ^ { 2 } + 5 x - 10 ; \quad k = 2$$

question 27

Multiple Choice

Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form f(x) = (x - k) q(x) + r for
the given value of k.
- $$f ( x ) = - 6 x ^ { 3 } + 2 x ^ { 2 } + 5 x - 10 ; \quad k = 2$$

• A) \(f ( x ) = ( x - 2 ) \left( - 6 x ^ { 2 } + 10 x + 25 \right) - 40\)
• B) \(f ( x ) = ( x + 2 ) \left( - 6 x ^ { 2 } + 10 x + 25 \right) - 40\)
• C) \(f ( x ) = ( x - 2 ) \left( - 6 x ^ { 2 } - 10 x + 15 \right) - 40\)
• D) \(f ( x ) = ( x - 2 ) \left( - 6 x ^ { 2 } - 10 x - 15 \right) - 40\)

Recognize the expansion of blue-collar work and its driving factors between 1870 and 1910.

Assess the role and impact of key labor movements and reactions to them, including strikes and the formation of labor unions.

Understand the influence of ideologies such as social Darwinism and nationalism in shaping economic and political policies.

Distinguish between industrial and commercial capitalism and their impacts on society and economy.

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Definitions:

Despair

A profound feeling of hopelessness or loss, often occurring during Erikson's final stage of psychosocial development in late adulthood.

Social Relationships

The connections and interactions between individuals that can provide support, friendship, love, or social networking and influence mental and physical health.

Ego Integrity

A term from Erik Erikson's theory, referring to the final stage of psychological development in which a person reflects on their life and feels a sense of fulfillment and unity.

Life Span

The maximum length of time that a living being, particularly a human, can expect to live under optimal conditions.