Factor Completely Using the Grouping Method to Factor Trinomials $$12 z ^ { 2 } - 7 z - 12$$

question 19

Multiple Choice

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.
- $$12 z ^ { 2 } - 7 z - 12$$

• A) prime
• B) \(( 12 z - 4 ) ( z + 3 )\)
• C) \(( 3 z + 4 ) ( 4 z - 3 )\)
• D) \(( 3 z - 4 ) ( 4 z + 3 )\)

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Definitions:

Marginal Revenue Curve

A graphical representation showing how marginal revenue varies as the quantity of output produced changes.

Purely Competitive Firm

A business that operates in a market with infinite buyers and sellers, no barriers to entry, and a standard product, leaving the company as a price taker.

Unitary Elasticity

A situation in economics when a change in the price of a product leads to an equal proportionate change in the quantity demanded or supplied.

Marginal Revenue

The additional income received from selling one more unit of a good or service; it is an important concept for determining the optimal level of output for a company.