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A-LevelMathematicsAlgebra9709/32 · Oct/Nov 2021 · Q45 Marks

Express 4x² - 13x + 13 / (2x - 1)(x - 3) in partial fractions.

  1. Express 4x² - 13x + 13 / (2x - 1)(x - 3) in partial fractions.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [B1] State or imply the form A + B/(2x-1) + C/(x-3)
  2. [M1] Use a correct method for finding a constant
  3. [A1] Obtain one of A = 2, B = −3 and C = 2
  4. [A1] Obtain a second value
  5. [A1] Obtain the third value
  6. Alternative method for Question 4
  7. [M1] Divide numerator by denominator
  8. [A1] Obtain 2 + (x+7) / ((2x-1)(x-3))
  9. [B1] State or imply the form D/(2x-1) + E/(x-3)
  10. [A1] Obtain one of D = −3 and E = 2
  11. [A1] Obtain a second value

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Oct/Nov 2021 Paper 3 Variant 2, question 4.

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