Divide Using Long Division $x - \frac { 1 } { 3 }$

question 86

Multiple Choice

Divide using long division.
-The width of a rectangle is $x - \frac { 1 } { 3 }$ feet and its area is $3 x ^ { 3 } + 17 x ^ { 2 } + 21 x - 9$ square feet. Write a polynomial that represents the length of the rectangle.

• A) \(3 x ^ { 2 } + 18 x + 27 \mathrm { ft }\)
• B) \(3 \mathrm { x } ^ { 2 } - 18 \mathrm { x } + 27 \mathrm { ft }\)
• C) \(3 x ^ { 2 } + 16 x + \frac { 47 } { 3 } \mathrm { ft }\)
• D) \(3 x ^ { 2 } + 18 x - 27 f t\)

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Definitions:

Marginal Utility

This term refers to the additional satisfaction or utility gained by consuming one more unit of a good or service.

Rational Consumer

An economic theory assumption that consumers make purchasing decisions based on their rational outlook, available information, and self-interest to maximize utility.

Income Effect

A change in the quantity demanded of a product that results from the change in real income (purchasing power) caused by a change in the product’s price.

Normal Good

A good or service whose consumption increases when income increases and falls when income decreases, price remaining constant.