Find the Requested Function $- 8$ ; Degree 3 ; And $5 , \frac { 1 } { 3 }$

question 66

Multiple Choice

Find the requested function.
-Find the polynomial function with leading coefficient $- 8$ ; degree 3 ; and $5 , \frac { 1 } { 3 }$ , and $\frac { 5 } { 3 }$ as zeros.

• A) \(f ( x ) = - \frac { 8 } { 9 } ( x - 5 ) ( 3 x - 1 ) ( 3 x - 5 )\)
• B) \(f ( x ) = - \frac { 8 } { 9 } ( x - 5 ) ( 3 x - 1 ) ( 3 x + 5 )\)
• C) \(f ( x ) = - 8 ( x - 5 ) ( 3 x - 1 ) ( 3 x - 5 )\)
• D) \(f ( x ) = - \frac { 8 } { 3 } ( x - 5 ) ( 3 x - 1 ) ( 3 x - 5 )\)

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Definitions:

Output Effect

The output effect is the impact on total revenue generated by selling an additional unit of a product or service, assuming the price remains constant.

Production Costs

The total expenses incurred in the process of creating and manufacturing a product.

Substitution Effect

The economic principle that as the price of a good increases, consumers will replace it with cheaper alternatives, whereas if the price decreases, the good will become more preferable.

Output Effect

The effect that changes in the price level have on production due to the incentive for producers to increase supply when the price is higher.