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O-LevelAdditional MathematicsSeries4037/22 · Oct/Nov 2012 · Q45 Marks

Find the coefficient of x⁵ in the expansion of (2 – x)⁸.

  1. (i)Find the coefficient of x⁵ in the expansion of (2 – x)⁸.[2]
  2. (ii)Find the coefficient of x⁵ in the expansion of (1 + 2x)(2 – x)⁸.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [B1] 8C5 (2)³ (-x)⁵
  2. [B1] -448(x⁵)
  3. [B1] 1120(x⁴)
  4. [M1] 2 × their 1120 and their -448 used
  5. [A1] 1792(x⁵)

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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 2012 Paper 2 Variant 2, question 4.

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