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O-LevelAdditional MathematicsSeries4037/12 · Oct/Nov 2020 · Q55 Marks

Find the coefficient of x² in the expansion of (x - 3/x) (x + 2/x)⁵.

  1. Find the coefficient of x² in the expansion of (x - 3/x) (x + 2/x)⁵.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.

  1. M1 for attempt to expand (x + 2/x)⁵ with at least 2 correct terms
  2. A1 for 10x³
  3. A1 for 40x
  4. M1 For (1×their 40)±(3×their 10)
  5. A1 for 10

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2020 Paper 1 Variant 2, question 5.

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