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A-LevelMathematicsAlgebra9709/12 · Feb/Mar 2022 · Q36 Marks

Find the term independent of x in each of the following expansions.

  1. (a)(3x+2/x²)⁶[3]
  2. (b)(3x+2/x²)⁶(1-x²)[3]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2022). The mark or mark type is shown in brackets.

  1. [B1] ⁶C₂ x (3x)⁴ (2/x²)²
  2. [B1] 15×3⁴×2²
  3. [B1] 4860
  4. [M1] Their 4860 and one other relevant term
  5. [A1] Other term = ⁶C₃(3x)³(2/x²)³ or ⁶C₃×3³×2³ or 4320
  6. [A1] [4860-4320 =] 540

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, Feb/Mar 2022 Paper 1 Variant 2, question 3.

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