10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is:

    A) \[{{x}^{2}}-6x+2\]

    B) \[{{x}^{2}}-36\]

    C) \[{{x}^{2}}-6\]

    D) \[{{x}^{2}}-3\]

    Correct Answer: B

    Solution :

    [b] Let other zero = k  
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,6+k=0\Rightarrow k=-6\]
    Product of zeroes \[=6\times (-6)=-36\]
    \[\therefore \]    Polynomial \[={{x}^{2}}-36\]


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