| Exam Board | OCR |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2009 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Improper fractions with quadratic factors |
| Difficulty | Standard +0.8 This is a Further Maths FP2 question requiring polynomial long division (since degree of numerator ≥ denominator) followed by partial fractions with a quadratic factor. It combines multiple techniques and requires careful algebraic manipulation, making it moderately harder than average A-level questions, though it's a standard FP2 exercise without requiring novel insight. |
| Spec | 1.02y Partial fractions: decompose rational functions |
4 Express $\frac { x ^ { 3 } } { ( x - 2 ) \left( x ^ { 2 } + 4 \right) }$ in partial fractions.
\hfill \mbox{\textit{OCR FP2 2009 Q4 [6]}}