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For which values of a and b, the zeroes ...

For which values of a and b, the zeroes of `q(x) = x^(3)+2x^(2)+a` are also the zeroes of the polynomial `p(x) = x^(5)-x^(4)-4x^(3)+3x^(2)+3x +b`? Which zeores of `p(x)` are not the zeroes of `p(x)`?

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