Express F(x) in the Form F(x) = (X - K)q(x) $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; \quad k = 3$$

question 507

Multiple Choice

Express f(x) in the form f(x) = (x - k) q(x) + r for the given value of k.
- $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; \quad k = 3$$

• A) \(f ( x ) = ( x - 3 ) \left( 3 x ^ { 3 } + x ^ { 2 } - x + 3 \right) + 9\)
• B) \(f ( x ) = ( x + 3 ) \left( 3 x ^ { 2 } + 2 x \right)\)
• C) \(f ( x ) = ( x + 3 ) \left( 3 x ^ { 3 } + 2 x \right)\)
• D) \(f ( x ) = ( x - 3 ) \left( 3 x ^ { 3 } + 2 x \right)\)

Accurately calculate and allocate partnership income or loss according to different agreement terms.

Recognize and account for capital contributions and withdrawals in partnerships.

Understand the procedure and effects of liquidating a partnership.

Calculate and interpret the return on equity for partners.

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Definitions:

Traditional Costing Systems

A method of accounting that allocates overhead costs based on a predetermined rate, often not capturing the actual costs of production accurately.

Manufacturing Costs

The expenses involved in the production of goods, including labor, raw materials, and overhead.

Batch-Level Activities

Activities that are performed each time a batch of goods is handled or processed, regardless of how many units are in the batch. The amount of resource consumed depends on the number of batches run rather than on the number of units in the batch.

Unit-Level Activities

Tasks or processes that vary directly with the number of units produced or services provided.