| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Remainder condition then further work |
| Difficulty | Moderate -0.8 This is a straightforward C2 question testing basic application of the factor theorem and polynomial division. Part (a) is simple substitution, part (b) requires factorising a cubic after finding one factor (standard technique), and part (c) is direct application of the remainder theorem. All parts follow textbook procedures with no problem-solving insight required, making it easier than average. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
$f(x) = 2x^3 + x^2 - 5x + c$, where $c$ is a constant.
Given that $f(1) = 0$,
\begin{enumerate}[label=(\alph*)]
\item find the value of $c$,
[2]
\item factorise $f(x)$ completely,
[4]
\item find the remainder when $f(x)$ is divided by $(2x - 3)$.
[2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q1 [8]}}