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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The zeroes of the polynomial \[{{x}^{3}}-x\] are:

    A) \[0,\pm 2\]

    B) \[0,\pm 1\]     

    C) \[0,\pm 3\]

    D) \[0,\pm 4\]

    Correct Answer: B

    Solution :

    [b] Let \[f(x)={{x}^{3}}-x\]
    The zeroes of the polynomial is given by, \[f(x)=0\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,{{x}^{3}}-x=0\Rightarrow x({{x}^{2}}-1)=0\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,x(x-1)(x+1)=0\Rightarrow x=0,\,1,-1\]


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