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2 marksFactorising Algebraic Expressions

CSEC Mathematics · January 2007 · Paper 2 · Question 9(a)(ii)

This question involves algebraic factorisation, expansion, and properties of quadratic functions. For part (a), factorise completely.

Factorise completely 5p + 5q + p^2 - q^2.

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Other parts of this question

  1. 9(a)(i)Factorise completely 2p^2 - 7p + 3.[1 mark]
  2. 9(b)Expand (x + 3)^2 (x - 4), writing your answer in descending powers of x.[3 marks]
  3. 9(c)(i)Write f(x) in the form f(x) = a(x + b)^2 + c where a, b, c ∈ R.[3 marks]
  4. 9(c)(ii)State the equation of the axis of symmetry.[1 mark]
  5. 9(c)(iii)State the coordinates of the minimum point.[1 mark]
  6. 9(c)(iv)Sketch the graph of f(x).[2 marks]
  7. 9(c)(v)a)On the graph of f(x) show clearly the minimum point.[1 mark]
  8. 9(c)(v)b)On the graph of f(x) show clearly the axis of symmetry.[1 mark]

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