2024 IGCSE Additional Mathematics May/June 0606/11 Q1

2024 IGCSE Additional Mathematics May/June 0606/11 Q1

5 marks
  1. On the axes, sketch the graph of \(y=-\dfrac15(x+2)(2x-1)(x+5)\), stating the intercepts with the axes.[3]
  2. Hence solve the inequality \(-\dfrac15(x+2)(2x-1)(x+5)\geq0\).[2]

Solution:

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Answer:(a) Sketch shown; intercepts \((-5,0),(-2,0),(\dfrac12,0),(0,2)\). (b) \(x\leq-5\) or \(-2\leq x\leq\dfrac12\).

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