SPS SPS FM 2023 February — Question 3 5 marks

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2023
SessionFebruary
Marks5
TopicPartial Fractions
TypeRepeated linear factor with distinct linear factor – decompose and integrate
DifficultyStandard +0.3 This is a straightforward partial fractions decomposition with a repeated linear factor. While it requires careful algebraic manipulation and solving a system of equations, it's a standard textbook exercise testing routine technique without requiring problem-solving insight or novel approaches.
Spec1.02y Partial fractions: decompose rational functions

Express \(\frac{(x-7)(x-2)}{(x+2)(x-1)^2}\) in partial fractions. [5]

Express $\frac{(x-7)(x-2)}{(x+2)(x-1)^2}$ in partial fractions. [5]

\hfill \mbox{\textit{SPS SPS FM 2023 Q3 [5]}}