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

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Let $\alpha, \beta, \gamma, \delta$ be the roots of the quartic equation $x^4 + p x^2 + q x + r = 0$, where $r \ne 0$. Express $\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\delta}$ in terms of the coefficients $p, q, r$.

$$-q/r$ $$q/r$ $$-p/r$ $$r/q$

Correct Answer:

$$-q/r$

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