List the Potential Rational Zeros of the Polynomial Function $$f ( x ) = x ^ { 5 } - 3 x ^ { 2 } + 3 x + 35$$

question 304

Multiple Choice

List the potential rational zeros of the polynomial function. Do not find the zeros.
- $$f ( x ) = x ^ { 5 } - 3 x ^ { 2 } + 3 x + 35$$

• A) \(\pm 1 , \pm \frac { 1 } { 7 } , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 35 }\)
• B) \(\pm 1 , \pm 7 , \pm 5\)
• C) \(\pm 1 , \pm \frac { 1 } { 7 } , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 35 } , \pm 7 , \pm 5 , \pm 35\)
• D) \(\pm 1 , \pm 7 , \pm 5 , \pm 35\)

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Definitions:

Consumer Surplus

The discrepancy between the total price consumers are ready to pay for a good or service and what they actually pay for it.

Producer Surplus

The disparity between the price at which sellers are prepared to offer a product and the actual selling price they get.

Consumer Surplus

The difference between the highest amount a consumer is willing to pay and the actual price paid.

Supply Shift

A change in the quantity of a good that suppliers are willing and able to sell at each price, represented by a shift of the supply curve to the left or right.