A-LevelMathematicsAlgebra9709/32 · May/June 2024 · Q25 Marks

Express (6x²-9x-16) / (2x²-5x-12) in partial fractions.

Mark scheme

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

[B1] State or imply the form A + B/(2x+3) + C/(x-4). Dx+E/(2x+3) + F/(x-4) and P/(2x+3) + Qx+R/(x-4) are also valid.
[M1] Use a correct method for finding a constant. SC: If score B0, they can score M1 A1 for one correct constant. B0 M1 A0 available if they substitute two values to form simultaneous equations but get an incorrect answer, or they substitute one value and make an arithmetic error.
[A1] Obtain one of A = 3, B = −2 and C = 4. SC: If the horizontal equation is correct apart from an incorrect value for A, the other A marks may be available.
[A1] Obtain a second value.
[A1] Obtain a third value. ISW. Statement of the final split is not required.

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Topic: Algebra, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2024 Paper 3 Variant 2, question 2.

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