Find the Indicated Product by Applying the Distributive Property and Combining

question 69

Multiple Choice

Find the indicated product by applying the distributive property and combining similar terms. $$\left( x ^ { 2 } - 7 x - 6 \right) \left( x ^ { 2 } + 9 x - 9 \right)$$

• A) \(x ^ { 4 } + 2 x ^ { 3 } - 15 x ^ { 2 } + 54 x + 9\)
• B) \(x ^ { 4 } + 2 x ^ { 3 } - 78 x ^ { 2 } + 9 x + 54\)
• C) \(x ^ { 4 } - 2 x ^ { 3 } - 72 x ^ { 2 } + 9 x + 54\)
• D) \(x ^ { 4 } + 2 x ^ { 3 } - 78 x ^ { 2 } + 9 x - 54\)
• E) \(x ^ { 4 } + 2 x ^ { 3 } - 78 x ^ { 2 } + 63 x + 54\)

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Definitions:

Marginal Revenue

The increase in profit from selling an extra unit of a good or service.

Average Nightly Room Rate

A measure used in the hospitality industry to calculate the average price paid per room per night.

Monopolistic Competition

A marketplace setup where plenty of businesses distribute products that resemble each other but are not duplicates, allowing them a partial degree of marketplace power and the ability to individualize their offerings.

Pure Competition

A market structure characterized by a large number of small firms, homogenous products, and easy market entry and exit, leading to price takers rather than price makers.