Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } + 8 x = 7$$

question 114

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$x ^ { 2 } + 8 x = 7$$

• A) \(\{ - 4 - \sqrt { 11.5 } , - 4 + \sqrt { 11.5 } \}\)
• B) \(\{ 4 + \sqrt { 11.5 } \}\)
• C) \(\{ - 1 - \sqrt { 11.5 } , - 1 + \sqrt { 11.5 } \}\)
• D) \(\{ - 4 - 1 \sqrt { 11.5 } , - 4 + 1 \sqrt { 11.5 } \}\)

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Definitions:

Marginal Revenue

The additional income received from selling one more unit of a good or service, crucial for decision-making in output levels.

Marginal Cost

The price of creating one more unit of a product or service.

Purely Competitive Market

A market structure with many buyers and sellers, where all firms sell identical products and no single buyer or seller can influence the market price.

Economic Profit

The discrepancy between a firm's gross income and its total expenses, factoring in both clear and unclear costs.