| Exam Board | SPS |
|---|---|
| Module | SPS SM Pure (SPS SM Pure) |
| Year | 2023 |
| Session | June |
| Marks | 3 |
| Topic | Partial Fractions |
| Type | Repeated linear factor with distinct linear factor – decompose and integrate |
| Difficulty | Standard +0.3 This is a standard partial fractions question with a repeated linear factor and a distinct linear factor. The improper fraction requires polynomial division first (or recognizing the numerator degree equals denominator degree), then applying the standard technique. Slightly above average difficulty due to the repeated factor requiring both A/(x-1) and B/(x-1)² terms, but this is a well-practiced A-level technique with no novel problem-solving required. |
| Spec | 1.02y Partial fractions: decompose rational functions |
Express in partial fractions,
$$\frac{9x^2}{(x-1)^2(2x+1)}$$ [3]
\hfill \mbox{\textit{SPS SPS SM Pure 2023 Q3 [3]}}