| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Known polynomial, verify then factorise |
| Difficulty | Moderate -0.8 This is a straightforward C2 factor theorem question requiring routine application: substitute x=-4 to verify the factor, then perform polynomial division and factorize the resulting quadratic. All steps are standard textbook procedures with no problem-solving insight needed, making it easier than average but not trivial due to the algebraic manipulation required. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
\begin{enumerate}[label=(\alph*)]
\item Use the factor theorem to show that $(x + 4)$ is a factor of $2x^3 + x^2 - 25x + 12$.
[2]
\item Factorise $2x^3 + x^2 - 25x + 12$ completely.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [6]}}