| 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 question testing routine application of the factor theorem and polynomial factorization. Part (a) requires simple substitution of x=-3, and part (b) involves standard algebraic long division followed by factorizing a quadratic—both are textbook exercises with no problem-solving insight required, making it easier than average. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
\begin{enumerate}[label=(\alph*)]
\item Using the factor theorem, show that $(x + 3)$ is a factor of
$$x^3 - 3x^2 - 10x + 24.$$ [2]
\item Factorise $x^3 - 3x^2 - 10x + 24$ completely. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q1 [6]}}