2025 IGCSE Additional Mathematics May/June 0606/12 Q1

3 marks

The diagram shows the graph of \(y=|\mathrm f(x)|\), where \(\mathrm f\) is a cubic polynomial.

Find expressions for the two possible functions \(\mathrm f(x)\).

Write each expression in fully factorised form.[3]

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Answer:\(\mathrm f(x)=\pm\dfrac13(x+2)(2x+1)(x-3)\)

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