| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Algebraic Fraction Multiplication and Division |
| Difficulty | Moderate -0.3 This question requires factorising quadratics, converting division to multiplication, and cancelling common factors - all standard C4 algebraic manipulation techniques. While it involves multiple steps, each step is routine and the question follows a familiar pattern with no novel problem-solving required, making it slightly easier than average. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
\begin{enumerate}
\item Express
\end{enumerate}
$$\frac { 2 x } { 2 x ^ { 2 } + 3 x - 5 } \div \frac { x ^ { 3 } } { x ^ { 2 } - x }$$
as a single fraction in its simplest form.\\
\hfill \mbox{\textit{OCR C4 Q1 [4]}}