A) \[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\]
B) \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\]
C) \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]
D) \[{{x}^{4}}+{{x}^{3}}+x+5\]
Correct Answer: B
Solution :
\[({{x}^{2}}+3x+5)({{x}^{2}}-1)\] \[={{x}^{4}}-{{x}^{2}}+3{{x}^{3}}-3x+5{{x}^{2}}-5\] Grouping like terms, we get, \[{{x}^{4}}+3{{x}^{3}}-{{x}^{2}}+5{{x}^{2}}-3x-5\] \[={{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\].You need to login to perform this action.
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