| Exam Board | OCR |
|---|---|
| Module | Further Pure Core 2 (Further Pure Core 2) |
| Year | 2017 |
| Session | Specimen |
| Marks | 5 |
| Topic | Partial Fractions |
| Type | Partial fractions with quadratic in denominator |
| Difficulty | Standard +0.3 This is a Further Maths question requiring factorization of the denominator (x³+4x = x(x²+4)) and decomposition into A/x + (Bx+C)/(x²+4), which is a standard technique. While it involves an irreducible quadratic requiring a linear numerator, this is routine for Further Pure and follows textbook methods directly with no novel insight needed. |
| Spec | 1.02y Partial fractions: decompose rational functions |
4 Express $\frac { 5 x ^ { 2 } + x + 12 } { x ^ { 3 } + 4 x }$ in partial fractions.
\hfill \mbox{\textit{OCR Further Pure Core 2 2017 Q4 [5]}}