Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = 3 x ^ { 4 } + 5 x ^ { 3 } - 6 x ^ { 2 } + 6 x - 12$$

question 78

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = 3 x ^ { 4 } + 5 x ^ { 3 } - 6 x ^ { 2 } + 6 x - 12$$

• A) \(\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 12 , \pm \frac { 1 } { 3 } , \pm \frac { 2 } { 3 } , \pm \frac { 4 } { 3 }\)
• B) \(\pm 1 , \pm 3 , \pm \frac { 1 } { 2 } , \pm \frac { 3 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 4 } , \pm \frac { 3 } { 4 } , \pm \frac { 1 } { 6 } , \pm \frac { 1 } { 12 }\)
• C) \(\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 12 , \pm \frac { 1 } { 2 } , \pm \frac { 3 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 4 } , \pm \frac { 3 } { 4 } , \pm \frac { 1 } { 6 } , \pm \frac { 1 } { 12 }\)
• D) \(\pm 1 , \pm 2 , \pm 3 , \pm 6 , \pm 12 , \pm \frac { 1 } { 3 } , \pm \frac { 2 } { 3 } , \pm \frac { 3 } { 4 }\)

Recognize the historical evolution and characteristics of the bourgeoisie and their impact on society.

Identify the factors that influenced industrialization rates across different countries.

Comprehend the economic policies of the 19th century and their effects on industrial and social development.

Analyze the relationship between urbanization, education, and societal changes during the 19th century.

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Definitions:

Overhead Applied

The allocation of overhead costs to specific jobs or production units based on a predetermined rate or method.

Activity-Based Costing

A methodology in costing that spots activities within an organization and distributes the costs related to each activity across all products and services, adhering to the genuine use by each.

Product A8

A placeholder name for a hypothetical or specific product, often used in business or marketing contexts.

Predetermined Overhead Rate

A rate used to allocate manufacturing overhead costs to products, calculated before the accounting period begins based on estimated costs and activity levels.