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2026 IGCSE Additional Mathematics February/March 0606/12 Q1

2026 IGCSE Additional Mathematics February/March 0606/12 Q1

4 marks

A polynomial \(\mathrm{p}\) is given by \(\mathrm{p}(x)=4x^3+8x^2-x-2\).

  1. Show that \(x+2\) is a factor of \(\mathrm{p}(x)\).[1]
  2. Solve the equation \(\mathrm{p}(x)=0\).[3]

Solution:

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Answer:(a) \(\mathrm{p}(-2)=0\) (shown) (b) \(x=-2,\ \pm\dfrac12\)

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