Browse · harp
Printsmc
algebra senior
Problem
The polynomial has the property that the average of its zeros, the product of its zeros, and the sum of its coefficients are all equal. The -intercept of the graph of is 2. What is ?
(A)
(B)
(C)
(D)
Solution
We are given . So the product of the roots is by Vieta's formulas. These also tell us that is the average of the zeros, so . We are also given that the sum of the coefficients is , so . So the answer is .
Final answer
A