A) \[{{x}^{3}}-3{{x}^{2}}-5x+24\]
B) \[{{m}^{3}}+3{{m}^{2}}-5m-24\]
C) \[{{n}^{3}}-2{{n}^{2}}+7n+12\]
D) \[{{y}^{3}}+6{{y}^{2}}-10y-48\]
Correct Answer: A
Solution :
(a): Note: Sign of \[\alpha +\beta +\gamma =\frac{-b}{a}\Rightarrow \]a, b are of opposite signs \[\alpha \beta +\beta \gamma +\gamma \alpha =\frac{c}{a}\Rightarrow \] c, a are of opposite signs \[\alpha \beta \gamma =\frac{-d}{a}=-24\Rightarrow \] d, a are of some signs: only option (a) matches.
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