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10 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2004 · Paper 2 · Question 1(a)

Given that (x-1) and (x-2) are factors of f(x) = x² + mx + n.

Find the constants m and n, and the third factor of f(x).

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Other parts of this question

  1. 1(b)Find the constants p, q and r such that 2y²-9y + 14 = p(y-1)(y-2) + q(y - 1) + r.[8 marks]
  2. 1(c)(i)Find the range of values of x ∈ R for which |2x-3|≤5.[5 marks]
  3. 1(c)(ii)Hence, determine the LEAST possible value of x + 1.[1 mark]
  4. 1(c)(iii)Hence, determine the GREATEST possible value of x + 1.[1 mark]

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