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O-LevelAdditional MathematicsFactors of polynomials4037/11 · May/June 2010 · Q56 Marks

Solve the equation 3x(x² + 6) = 8 – 17x2.

Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. [1] M1 for simplification to a cubic equation = 0; A1 for 3x^3 + 17x^2 + 18x - 8 = 0
  2. [1] M1 for attempt to find a root (e.g. by factor theorem)
  3. [1] M1 for attempt to obtain quadratic factor
  4. [1] DM1 for obtaining linear factors or use of quadratic formula
  5. [1] B1 for first solution
  6. [1] A1 for the other pair of solutions

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About this question

Topic
Factors of polynomials, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 1, question 5.

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