| Exam Board | CAIE |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2018 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Roots of polynomials |
4 It is given that the equation
$$x ^ { 3 } - 21 x ^ { 2 } + k x - 216 = 0$$
where $k$ is a constant, has real roots $a , a r$ and $a r ^ { - 1 }$.\\
(i) Find the numerical values of the roots.\\
(ii) Deduce the value of $k$.\\
\hfill \mbox{\textit{CAIE FP1 2018 Q4}}