Problem:
The polynomial has the property that the mean of its zeros, the product of its zeros, and the sum of its coefficients are all equal. If the -intercept of the graph of is 2 , what is ?
Answer Choices:
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Solution:
The sum and product of the zeros of are and , respectively. Therefore,
Since is the -intercept of , it follows that . Thus and .
The problems on this page are the property of the MAA's American Mathematics Competitions