| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Remainder condition then further work |
| Difficulty | Moderate -0.8 This is a straightforward application of the Remainder Theorem requiring direct substitution and basic algebra. Part (i) involves substituting x=-2 and solving a linear equation for k, while part (ii) requires substituting x=2/3 into the polynomial. Both parts are routine C2-level exercises with no problem-solving insight needed, making this easier than average. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
\begin{enumerate}
\item $f ( x ) = 3 x ^ { 3 } - 2 x ^ { 2 } + k x + 9$.
\end{enumerate}
Given that when $\mathrm { f } ( x )$ is divided by $( x + 2 )$ there is a remainder of - 35 ,\\
(i) find the value of the constant $k$,\\
(ii) find the remainder when $\mathrm { f } ( x )$ is divided by $( 3 x - 2 )$.\\
\hfill \mbox{\textit{OCR C2 Q1 [4]}}