A) \[{{x}^{3}}-2{{x}^{2}}-2x-4\]
B) \[{{x}^{3}}+3{{x}^{2}}-2x+4\]
C) \[{{x}^{3}}-2{{x}^{2}}-2x+4\]
D) \[-{{x}^{3}}-2{{x}^{2}}+2x-4\]
Correct Answer: C
Solution :
\[\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{{{x}^{3}}\,\,\,\,-\,\,\,2{{x}^{2}}\,\,\,-2x\,\,\,+\,\,4}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\begin{align} & {{x}^{3}}-{{x}^{2}}+3x-2 \\ & (-){{x}^{2}}+5x-6 \\ & -\,\,\,\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,+\,\,\,\,\,\,\,\,\,- \\ \end{align}}}\,}}\,}}\,\]
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