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2 marksFactor Theorem

CSEC Additional Mathematics · 2013 · Paper 2 · Question 1(a)(i)

A function f(x) is defined as f(x) = x³ - x² - 14x + 24.

Use the factor theorem to show that x + 4 is a factor of f(x).

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Other parts of this question

  1. 1(a)(ii)Determine the other linear factors of f(x).[3 marks]
  2. 1(b)(i)Find an expression for the inverse function f⁻¹(x).[3 marks]
  3. 1(b)(ii)Write an expression for the composite function, fg(x). Simplify your answer.[2 marks]
  4. 1(c)Show that x = 2(log5 + log7) / (log125 - log7).[4 marks]

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