A) \[{{x}^{3}}+3{{x}^{2}}-10x+24\]
B) \[{{x}^{3}}-3{{x}^{2}}-10x-24\]
C) \[{{x}^{3}}-3{{x}^{2}}-10x+24\]
D) \[None\,\, of\,\, these\]
Correct Answer: B
Solution :
[b] \[p(x)={{x}^{3}}-(\alpha +\beta +\gamma ){{x}^{2}}+(\alpha \beta +\beta \gamma +\gamma \alpha )x-\alpha \beta \gamma \]\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,p(x)={{x}^{3}}-3{{x}^{2}}-10x-24\]
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