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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-4

  • question_answer
    For what value of \[k,\,\,(2{{x}^{4}}+3{{x}^{3}}+2{{x}^{2}}+3x+6)\]is exactly divisible by\[(x+2)\]?

    A) \[1\]                 

    B)  \[2\]

    C) \[-2\]                

    D)  \[-1\]  

    Correct Answer: D

    Solution :

     Here,\[x+2=0\Rightarrow x=-2\] By Factor Theorem,             \[f(-2)=0\] \[\Rightarrow \]\[2{{(-2)}^{4}}+3{{(-2)}^{3}}+2k{{(-2)}^{2}}+3(-2)+6=0\] \[\Rightarrow \]\[32-24+8k-6+6\]             \[=8k+8=0\] \[\Rightarrow \]\[8k=-8\Rightarrow k=-1\]


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