A) 25
B) 24
C) 23
D) 22
E) 21
Correct Answer: E
Solution :
We have \[\left| \begin{matrix} {{x}^{2}}+x & 3x-1 & -x+3 \\ 2x+1 & 2+{{x}^{2}} & {{x}^{3}}-3 \\ x-3 & {{x}^{2}}+4 & 3x \\ \end{matrix} \right|\] \[={{x}^{2}}+x[(2+{{x}^{2}})(3x)-({{x}^{2}}+4)({{x}^{3}}-3)]\] \[-(3x-1)[(2x+1)3x-(x-3)({{x}^{3}}-3)]\] \[+(-x+3)[(2x+1)({{x}^{2}}+4)\] \[-(x-3)(2+{{x}^{2}})\] \[=21+35x+12{{x}^{2}}-7{{x}^{3}}-9{{x}^{4}}\] \[+2{{x}^{5}}-{{x}^{6}}-{{x}^{7}}\] \[\Rightarrow \] \[{{a}_{0}}=21\]You need to login to perform this action.
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