# Amazing Polynomial!

Algebra Level 5

The polynomial $$P(x) = x^3 + ax^2 + bx + c$$ 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 $$y$$-intercept of the graph of $$y = P(x)$$ is 2, then what is the value of $$-b?$$

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