Factor the Four-Term Polynomial by Grouping $12 x ^ { 6 } - 9 x ^ { 3 } + 8 x ^ { 3 } - 6$

question 5

Multiple Choice

Factor the four-term polynomial by grouping.
- $12 x ^ { 6 } - 9 x ^ { 3 } + 8 x ^ { 3 } - 6$

• A) \(\left( 3 x ^ { 3 } + 2 \right) \left( 4 x ^ { 3 } - 3 \right)\)
• B) \(\left( 3 x ^ { 6 } + 2 \right) ( 4 x - 3 )\)
• C) \(\left( 3 x ^ { 3 } - 2 \right) \left( 4 x ^ { 3 } + 3 \right)\)
• D) \(\left( 12 x ^ { 3 } - 2 \right) \left( x ^ { 3 } + 3 \right)\)

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Definitions:

Perfectly Competitive

A market structure characterized by a large number of small firms, a homogenous product, free entry and exit, and perfect information, leading to firms being price takers.

Market Price

The current price at which an asset or service can be bought or sold in a competitive market.

Profit

The profit earned when the total income surpasses all the expenditures, costs, and taxes necessary for maintaining the business.

Profit-Maximizing

A strategy or approach taken by firms to achieve the highest possible profit from their operations.