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The polynomial P(x)=x^(3)+ax^(2)+bx+c ha...

The polynomial `P(x)=x^(3)+ax^(2)+bx+c` has the property that the mean of its roots, the product of its roots, and the sum of its coefficients are all equal. If the `y`-intercept of the graph of `y=P(x)` is `2`,
The value of `b` is

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