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5 marksRemainder and Factor Theorem

CAPE Integrated Mathematics · 2016 · Paper 2 · Question 1(f)

A function, f, is such that f(x) = x^3 + x^2 - 4x - 4 where f(-1) = 0. Factorize f(x) completely.

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Other parts of this question

  1. 1(a)Find the complex solutions of the equation x^2 - 2x + 5 = 0, giving your answer in the form x ± iy.[4 marks]
  2. 1(b)Solve the pair of simultaneous equations: 3y = x^2 - x and y + 4 = 2x.[5 marks]
  3. 1(c)Find the equation of the straight line, l, that passes through the point P(0, 2) and is parallel to the line AB with coordinates A(5, -4) and B(-3, 2).[3 marks]
  4. 1(d)Obtain the binomial expansion of (2x - 1)^3.[4 marks]
  5. 1(e)Determine the range of values of x for which 2x^2 + 5x - 3 > 0.[4 marks]

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