Factor the Expression by Grouping Terms $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

question 82

Multiple Choice

Factor the expression by grouping terms. $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

• A) \(\left( x ^ { 2 } - 5 \right) ( 2 x + 1 )\)
• B) \(\left( x ^ { 2 } - 6 \right) ( 3 x + 1 )\)
• C) \(\left( x ^ { 2 } - 6 \right) ( 2 x + 1 )\)
• D) \(\left( x ^ { 2 } + 5 \right) ( 3 x - 1 )\)
• E) \(\left( x ^ { 2 } - 5 \right) ( 3 x + 1 )\)

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Definitions:

Imperfectly Competitive

Describes markets where individual sellers have some control over the price of their goods or services, as opposed to perfect competition where none exists.

Price Makers

Firms or entities that have the ability to influence the price of goods or services in the market due to their size, uniqueness of product, or market power.

Imperfectly Competitive

A market structure where the conditions necessary for perfect competition are not satisfied, often due to products being differentiated or barriers to entry existing.

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded, with the curve usually sloping downwards from left to right, indicating that a higher price leads to a lower quantity demanded.