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A-LevelMathematicsSeries9709/32 · Oct/Nov 2024 · Q14 Marks

Expand (9-3x)¹ᐟ² in ascending powers of x, up to and including the term in x², simplifying the coefficients.

  1. (a)Expand (9-3x)¹ᐟ² in ascending powers of x, up to and including the term in x², simplifying the coefficients.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [M1] Obtain a correct unsimplified version of the x or x² term of the expansion of (9-3x)¹ᐟ² or (1-⅓x)¹ᐟ²
  2. [B1] State correct first term 3
  3. [A1] Obtain the next term -½ x
  4. [A1] Obtain the next term -¹⁄₂₄ x²

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2024 Paper 3 Variant 2, question 1.

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