2025 IGCSE Additional Mathematics October/November 0606/21 Q1
2025 IGCSE Additional Mathematics October/November 0606/21 Q1
5 marks
The polynomial \(\mathrm p\) is such that \(\mathrm p(x)=x^3+ax^2+bx-2\), where \(a\) and \(b\) are constants.
It is given that:
- \(x+2\) is a factor of \(\mathrm p(x)\)
- when \(\mathrm p(x)\) is divided by \(x-3\) the remainder is 40.
Find the values of \(a\) and \(b\).[5]
Solution:
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Answer:\(a=2,\ b=-1\)
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