A) \[0\]
B) \[1\]
C) \[2\]
D) \[3\]
Correct Answer: B
Solution :
[b] Let \[f(x)={{x}^{4}}+2{{x}^{3}}+5{{x}^{2}}-6x-2\] and \[g(x)={{x}^{3}}+2{{x}^{2}}+4x-7\] All common roots of \[f(x)=0\] and \[g(x)=0\] are roots of equation \[f(x)-xg(x)=0\]. \[\Rightarrow \,\,\,\,{{x}^{2}}+x-2=0\] Common roots may be \[x=1\] or \[x=-2\]. Bu t \[x=-2\] does not satisfy \[g(x)=0\]. Hence, the only common root is\[x=1\].You need to login to perform this action.
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