| Exam Board | SPS |
|---|---|
| Module | SPS SM Pure (SPS SM Pure) |
| Year | 2022 |
| Session | June |
| Marks | 4 |
| Topic | Partial Fractions |
| Type | Determine constants in partial fractions |
| Difficulty | Moderate -0.3 This is a standard partial fractions question with an improper fraction (numerator and denominator have same degree), requiring the student to first extract the polynomial part A, then decompose the remainder. It's slightly easier than average because the method is routine and well-practiced, though the improper fraction adds a small step beyond the most basic partial fractions questions. |
| Spec | 1.02y Partial fractions: decompose rational functions |
$$\frac{1 + 11x - 6x^2}{(x - 3)(1 - 2x)} \equiv A + \frac{B}{(x - 3)} + \frac{C}{(1 - 2x)}$$
Find the values of the constants $A$, $B$ and $C$. [4]
\hfill \mbox{\textit{SPS SPS SM Pure 2022 Q13 [4]}}