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O-LevelAdditional MathematicsFactors of polynomials4037/12 · Oct/Nov 2017 · Q77 Marks

A polynomial p(x) is ax³ + 8x² + bx + 5, where a and b are integers. It is given that 2x - 1 is a factor of p(x) and that a remainder of -25 is obtained when p(x) is divided by x + 2.

  1. (i)Find the value of a and of b.[5]
  2. (ii)Using your values of a and b, find the exact solutions of p(x) = 5.[2]

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About this question

Topic
Factors of polynomials, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 7.

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