| Exam Board | SPS |
|---|---|
| Module | SPS FM Pure (SPS FM Pure) |
| Year | 2021 |
| Session | May |
| Marks | 5 |
| Topic | Partial Fractions |
| Type | Partial fractions with quadratic in denominator |
| Difficulty | Moderate -0.3 This is a straightforward partial fractions question with a factorable denominator (x³+4x = x(x²+4)) requiring standard techniques. The irreducible quadratic factor makes it slightly more involved than the simplest cases, but it remains a routine textbook exercise with no conceptual challenges beyond applying the method correctly. |
| Spec | 4.05c Partial fractions: extended to quadratic denominators |
Express $\frac{5x^2+x+12}{x^3+4x}$ in partial fractions. [5]
\hfill \mbox{\textit{SPS SPS FM Pure 2021 Q5 [5]}}