| Exam Board | Edexcel |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Standard quadratic with real coefficients |
| Difficulty | Moderate -0.8 This is a straightforward application of the quadratic formula to find complex roots, followed by plotting them on an Argand diagram. While it's a Further Maths topic, it requires only routine algebraic manipulation with no problem-solving insight. The discriminant calculation and simplification are mechanical, making this easier than average even for FP1 standards. |
| Spec | 4.02i Quadratic equations: with complex roots4.02k Argand diagrams: geometric interpretation |
\begin{enumerate}[label=(\alph*)]
\item Find the roots of the equation $z^2 + 2z + 17 = 0$, giving your answers in the form $a + ib$, where $a$ and $b$ are integers. [3]
\item Show these roots on an Argand diagram. [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel FP1 Q35 [4]}}