CLAT Sample Paper CLAT Sample Paper-2

  • question_answer
    What must be added to \[({{x}^{3}}-3{{x}^{2}}+4x-15)\] to obtain a polynomial, which is exactly divisible by \[(x-y)\]?

    A)  3     

    B)  - 8   

    C)  14     

    D)  ? 4

    Correct Answer: A

    Solution :

    Let \[f(x)={{x}^{3}}-3{{x}^{2}}+4x-15\] Let m to be added, then \[\therefore \] \[g(x)\times f(x)+m\] \[\Rightarrow \] \[g(x)={{x}^{3}}-3{{x}^{2}}+4x-15+m\] \[\Rightarrow \] \[g(3)=0\] \[\Rightarrow \]       \[g(3)={{(3)}^{3}}-3\times {{(3)}^{2}}+4(3)-15+m=0\] \[\Rightarrow \] \[m-3=0\] \[\therefore \] \[m=3\]

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