1.

If \[{{(5{{x}^{2}}+14x+2)}^{2}}-{{(4{{x}^{2}}-5x+7)}^{2}}\]is divided by \[({{x}^{2}}+x+1),\] then quotient 'q' and remainder '/-' respectively, are ____.

A. \[({{x}^{2}}+19x-5),0\]
B. \[9({{x}^{2}}+19x-5),0\]
C. \[({{x}^{2}}+19x-5),1\]
D. \[9({{x}^{2}}+19x-5),1\]
Answer» C. \[({{x}^{2}}+19x-5),1\]


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