Don't equate

Algebra Level 3

For what values of \(a\) and \(b\) are the zeroes of \(q(x) = x^{3} + 2x^{2} + a\) also the zeroes of the polynomial \(p(x)= x^{5} - x^{4} - 4x^{3} + 3x^{2} + 3x + b\)?

Input your answer as \(a+b\).

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