| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2020 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Simple Algebraic Fraction Simplification |
| Difficulty | Moderate -0.8 This is a straightforward algebraic fraction simplification requiring factorisation of both numerator and denominator, then cancelling common factors. The denominator factors easily to (x-2)(x+1), and the numerator can be found by inspection or polynomial division. This is a routine technique-based question with no problem-solving element, making it easier than average. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division1.02y Partial fractions: decompose rational functions |
Simplify fully $\frac{2x^3 + x^2 - 7x - 6}{x^2 - x - 2}$. [4]
\hfill \mbox{\textit{OCR H240/02 2020 Q2 [4]}}