| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2011 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Two unknowns with show-that step |
| Difficulty | Moderate -0.3 This is a straightforward application of the Remainder Theorem requiring students to substitute values and solve simultaneous equations. Part (a) is a 'show that' which guides students to one equation, and part (b) completes the standard process. While it involves two unknowns, the method is routine for C2 level with no conceptual challenges beyond direct application of the theorem. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
I don't see any actual mark scheme content in the text you've provided. What I see is:
1. A table of numerical values (x-coordinates from 1 to 1.9 with corresponding y-values)
2. A reference to "PMT" and "PhysicsAndMathsTutor.com"
3. Standard publication/administrative information from Edexcel
There are no marking annotations (M1, A1, B1, DM1, etc.), no assessment criteria, and no guidance notes that would constitute a mark scheme.
Could you please provide the actual mark scheme content you'd like me to clean up? It should include items like:
- Marking points with point values
- Annotations like "M1", "A1", "B1", etc.
- Model answers or acceptance criteria
- Examiner's notes or guidance1.
$$\mathrm { f } ( x ) = x ^ { 4 } + x ^ { 3 } + 2 x ^ { 2 } + a x + b$$
where $a$ and $b$ are constants.
When $\mathrm { f } ( x )$ is divided by $( x - 1 )$, the remainder is 7 .
\begin{enumerate}[label=(\alph*)]
\item Show that $a + b = 3$.
When $\mathrm { f } ( x )$ is divided by $( x + 2 )$, the remainder is - 8 .
\item Find the value of $a$ and the value of $b$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 2011 Q1 [7]}}