| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Find remainder(s) then factorise |
| Difficulty | Moderate -0.8 This is a straightforward application of the Remainder Theorem requiring simple substitution (f(3) and f(-2)), followed by factorization once a root is identified. The question is routine with clear signposting and requires only standard C2 techniques with no problem-solving insight needed. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
\begin{enumerate}[label=(\alph*)]
\item Find the remainder when
$x^3 - 2x^2 - 4x + 8$
is divided by
\begin{enumerate}[label=(\roman*)]
\item $x - 3$,
\item $x + 2$.
[3]
\end{enumerate}
\item Hence, or otherwise, find all the solutions to the equation
$x^3 - 2x^2 - 4x + 8 = 0$.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q1 [7]}}