Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 4 ; k = 2$$

question 99

Multiple Choice

Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form f(x) = (x - k) q(x) + r for
the given value of k.
- $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 4 ; k = 2$$

• A) \(f ( x ) = ( x - 2 ) \left( 2 x ^ { 2 } - 7 x + 11 \right) + 18\)
• B) \(f ( x ) = ( x - 2 ) \left( 2 x ^ { 2 } + 7 x + 9 \right) + 22\)
• C) \(f ( x ) = ( x - 2 ) \left( 2 x ^ { 2 } + x - 3 \right) - 2\)
• D) \(f ( x ) = ( x + 2 ) \left( 2 x ^ { 2 } + x + 3 \right) + 10\)

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Definitions:

Linear Demand Curve

A graphical representation showing a direct relationship between the quantity of goods consumers are willing to buy and the price of those goods.

Price Elasticity

A measure of the responsiveness of the quantity demanded or supplied of a good to a change in its price.

Elasticity Supply

An indicator of the extent to which the supply of a product is sensitive to price fluctuations.

Straight-Line Demand

A demand curve that displays a constant relationship between price and quantity demanded, represented graphically as a straight line.