Use the Factor Theorem to Determine Whether X - C $$f ( x ) = 6 x ^ { 3 } + 16 x ^ { 2 } + 18 x - 8 ; c = \frac { 1 } { 3 }$$

question 171

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = 6 x ^ { 3 } + 16 x ^ { 2 } + 18 x - 8 ; c = \frac { 1 } { 3 }$$

• A) Yes; \(f ( x ) = \left\{ x - \frac { 1 } { 3 } \right) \left( 6 x ^ { 2 } + 19 x + 24 \right)\)
• B) Yes; \(f ( x ) = \left( x - \frac { 1 } { 3 } \right) \left( 6 x ^ { 2 } + 18 x + 24 \right)\)
• C) Yes; \(f ( x ) = \left( x + \frac { 1 } { 3 } \right) \left( 6 x ^ { 2 } + 18 x - 24 \right)\)
• D) No

Understand the catalytic role of the Second World War in reshaping international relations and the balance of power globally.

Comprehend the transformational impacts of the Second World War on American society, including on various demographic groups.

Analyze the significant contributions and challenges of the United States federal government in directing the nation's war efforts.

Examine the prelude to and the reasons behind the United States' engagement in the Second World War, with a focus on the conflict with Japan.

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Definitions:

Characteristic Adaptation

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Reticular Activating System

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NEO Personality Inventory

A psychological personality inventory that assesses the five major dimensions of personality, often referred to as the Big Five personality traits.