Unknown coefficient and remaining roots

Unknown coefficient and remaining roots

Secondary 3
TGM Original Questions

The polynomial \(P(x)=x^3+ax^2-5x+6\) is divisible by \(x-2\). Find \(a\) and solve \(P(x)=0\).

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Answer:\(a=-1\); \(x=2,\dfrac{-1+\sqrt{13}}2,\dfrac{-1-\sqrt{13}}2\).

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