| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Known polynomial, verify then factorise |
| Difficulty | Moderate -0.8 This is a straightforward C2 polynomial question requiring factor theorem verification (substitute x=-2) and then polynomial division or comparison of coefficients to find the quadratic factor. Both parts are standard textbook exercises with clear methods and no problem-solving insight required, making it easier than average. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
$f(x) = x^3 - 19x - 30$.
\begin{enumerate}[label=(\alph*)]
\item Show that $(x + 2)$ is a factor of $f(x)$. [2]
\item Factorise $f(x)$ completely. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [6]}}