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

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The cubic polynomial $x^3 - 5x^2 + 7x - 3 = 0$ has roots $\alpha, \beta, \gamma$. Calculate the sum of cubes of the roots, $S_3 = \alpha^3 + \beta^3 + \gamma^3$.
Correct Answer:
29

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