Factor as Completely as Possible $$27 a ^ { 2 } + 27 a - 12$$

question 63

Multiple Choice

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
- $$27 a ^ { 2 } + 27 a - 12$$

• A) \(3 ( 3 a + 4 ) ( 3 a - 1 )\)
• B) \(3 ( 3 a - 4 ) ( 3 a + 1 )\)
• C) \(( 3 a + 4 ) ( 9 a - 3 )\)
• D) \(( 9 a + 12 ) ( 3 a - 1 )\)

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Definitions:

Marginal Utility

The additional joy or advantage obtained from using one more unit of a good or service.

Diminishing

A principle that refers to a decrease or reduction in the effectiveness, value, or quantity of something over time or under certain conditions.

Additional Unit

An incremental quantity of a product or service, typically considered in the context of production or consumption.

Substitution Effect

The change in the quantity demanded of a good that results from a change in price, making the good more or less expensive relative to other goods.