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J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    The sum of the coefficients of the polynomial \[{{(1+x+{{x}^{2}}-4{{x}^{3}})}^{2149}}\] is

    A)  \[1\]               

    B)  \[-1\]

    C)  \[2143\]           

    D)  \[2156\]

    Correct Answer: B

    Solution :

    Given polynomial is \[{{(1+x+{{x}^{2}}-4{{x}^{3}})}^{2149}}\] \[\therefore \] Required sum \[={{(1+1+1-4)}^{2149}}\] \[={{(-1)}^{2149}}=-1\]


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