| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Simplify algebraic fractions by multiplication or division |
| Difficulty | Moderate -0.5 This is an algebraic fraction multiplication requiring factorization of quadratics and cancellation. While it involves multiple steps (factoring three expressions, canceling common factors), these are routine C4 techniques with no conceptual difficulty or novel insight required. Slightly easier than average due to straightforward factorization patterns. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
\begin{enumerate}
\item Express
\end{enumerate}
$$\frac { 2 x ^ { 3 } + x ^ { 2 } } { x ^ { 2 } - 4 } \times \frac { x - 2 } { 2 x ^ { 2 } - 5 x - 3 }$$
as a single fraction in its simplest form.\\
\hfill \mbox{\textit{OCR C4 Q1 [4]}}