Singapore GCE A-Level H2 Further Mathematics Practice Questions - Singapore SEAB GCE A-Level H2 Further Mathematics (Syllabus 9649) Exam

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For the cubic equation $x^3 + ax + b = 0$ with roots $\alpha, \beta, \gamma$, express $S_4 = \alpha^4 + \beta^4 + \gamma^4$ in terms of $a$ and $b$.
Correct Answer:
$$2a^2$

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