SPS SPS FM 2022 January — Question 4 5 marks

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionJanuary
Marks5
TopicPartial Fractions
TypeRepeated linear factor with distinct linear factor – decompose only
DifficultyStandard +0.3 This is a standard partial fractions question with a repeated linear factor. While it requires setting up the correct form A/(x+2) + B/(x-1) + C/(x-1)² and solving for three constants, this is a routine textbook exercise that follows a well-established algorithm with no conceptual challenges or novel problem-solving required. It's slightly easier than average due to being purely procedural.
Spec1.02y Partial fractions: decompose rational functions

4. Express \(\frac { ( x - 7 ) ( x - 2 ) } { ( x + 2 ) ( x - 1 ) ^ { 2 } }\) in partial fractions.
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4.

Express $\frac { ( x - 7 ) ( x - 2 ) } { ( x + 2 ) ( x - 1 ) ^ { 2 } }$ in partial fractions.\\[0pt]
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\hfill \mbox{\textit{SPS SPS FM 2022 Q4 [5]}}