Symmetric values from a cubic

Symmetric values from a cubic

IB Year 6 | Grade 12

The roots of the equation \(x^3-6x^2+11x-6=0\) are \(\alpha\), \(\beta\) and \(\gamma\). Write down the values of \(\alpha+\beta+\gamma\), \(\alpha\beta+\beta\gamma+\gamma\alpha\) and \(\alpha\beta\gamma\).

Solution:

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Answer:\(6,\ 11,\ 6\)

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