| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Difficulty | Moderate -0.3 Part (i) requires factorising two quadratics and cancelling common factors - a routine algebraic skill. Part (ii) is straightforward polynomial long division with simple coefficients. Both are standard C4 techniques with no conceptual challenges, making this slightly easier than average but still requiring careful algebraic manipulation. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
\begin{enumerate}
\item (i) Simplify
\end{enumerate}
$$\frac { 2 x ^ { 2 } + 3 x - 9 } { 2 x ^ { 2 } - 7 x + 6 }$$
(ii) Find the quotient and remainder when ( $2 x ^ { 4 } - 1$ ) is divided by ( $x ^ { 2 } - 2$ ).\\
\hfill \mbox{\textit{OCR C4 Q2 [6]}}