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 roots of the equation $2x^3 - 3x^2 + 4x - 5 = 0$ are $\alpha, \beta, \gamma$. Find a cubic equation with integer coefficients whose roots are $2\alpha, 2\beta, 2\gamma$.

$$y^3 - 3y^2 + 8y - 20 = 0$ $$y^3 - 6y^2 + 16y - 40 = 0$ $$y^3 - 3y^2 + 4y - 10 = 0$ $$y^3 - 3y^2 + 16y - 20 = 0$

Correct Answer:

$$y^3 - 3y^2 + 8y - 20 = 0$

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