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For which values of 'a' and 'b' are th...

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

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The correct Answer is:
b = - 2
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