Simplify the Rational Expression $\frac { 4 x ^ { 3 } + x ^ { 2 } - 51 x + 36 } { 4 x - 3 }$

question 37

Multiple Choice

Simplify the rational expression, $\frac { 4 x ^ { 3 } + x ^ { 2 } - 51 x + 36 } { 4 x - 3 }$ ,by using long division or synthetic division.

• A) \(x ^ { 2 } + 7 x + 16\)
• B) \(x ^ { 2 } - 7 x - 12\)
• C) \(x ^ { 2 } - 6 x + 12\)
• D) \(x ^ { 2 } + 8 x + 9\)
• E) \(x ^ { 2 } + x - 12\)

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Definitions:

Marginal Cost Curve

A graphical representation showing how the cost of producing one additional unit of a good varies as production increases.

Industry Supply

The total amount of a product or service that all producers in a market are willing and able to sell at a given price.

Price Floor

A government-imposed limit on how low a price can be charged, usually above the equilibrium price, which can prevent the market from clearing.

Price Ceiling

A government-imposed limit on how high a price can be charged for a product, service, or resource, usually intended to protect consumers from prices deemed excessively high.