| Exam Board | OCR |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Simplify then show identity |
| Difficulty | Standard +0.3 This is a straightforward algebraic manipulation question requiring factorization of the quadratic denominator and combining fractions over a common denominator. While it involves multiple steps, it's a standard C4 partial fractions exercise with no conceptual difficulty—students simply need to execute routine algebraic techniques carefully. Slightly easier than average since it's a 'show that' rather than requiring independent problem-solving. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division1.02y Partial fractions: decompose rational functions |
1.
$$f ( x ) = 1 + \frac { 4 x } { 2 x - 5 } - \frac { 15 } { 2 x ^ { 2 } - 7 x + 5 }$$
Show that
$$f ( x ) = \frac { 3 x + 2 } { x - 1 }$$
\hfill \mbox{\textit{OCR C4 Q1 [4]}}