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5 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 2 · Question 1(a)

Find the values of the constant p such that x - p is a factor of f(x) = 4x³ - (3p + 2) x² - (p² – 1) x + 3.

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Other parts of this question

  1. 1(b)Solve, for x and y, the simultaneous equations log (x-1) + 2 log y = 2 log 3 and log x + log y = log 6.[8 marks]
  2. 1(c)Solve, for x ∈ R, the inequality 2x-3 / x+1 > 5.[5 marks]
  3. 1(d)By using y = 2ˣ, or otherwise, solve 4ˣ - 3 (2ˣ⁺¹) + 8 = 0.[7 marks]

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