2026 IGCSE Additional Mathematics May/June 0606/21 Q1

2026 IGCSE Additional Mathematics May/June 0606/21 Q1

5 marks
  1. On the axes, sketch the graph of \(y=\dfrac13(2x-1)(x+3)(2x+5)\).
    State the intercepts with the coordinate axes.[3]
  2. Solve the inequality \(\dfrac13(2x-1)(x+3)(2x+5)>0\).[2]

Solution:

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Answer:(a) Sketch shown; intercepts \((-3,0)\), \(\left(-\dfrac52,0\right)\), \(\left(\dfrac12,0\right)\), \((0,-5)\). (b) \(-3<x<-\dfrac52\) or \(x>\dfrac12\).

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