| 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 only the factor theorem (substitute x=-2) and then polynomial division or inspection to find the quadratic factor. Both parts are routine textbook exercises with no problem-solving insight needed, making it easier than average but not trivial since it requires multiple steps and careful algebraic manipulation. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
\begin{enumerate}[label=(\alph*)]
\item Show that $(x + 2)$ is a factor of $f(x) = x^3 - 19x - 30$. [2]
\item Factorise $f(x)$ completely. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q1 [6]}}