Test your polynomial knowledge!
Source:
December 4, 2005
algebrapolynomialproduct of roots
Problem Statement
The polynomial P(x) \equal{} x^3 \plus{} ax^2 \plus{} bx \plus{} c 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 y \equal{} P(x) is 2, what is ?
(A) \ \minus{} 11 \qquad (B) \ \minus{} 10 \qquad (C) \ \minus{} 9 \qquad (D) \ 1 \qquad (E) \ 5