10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

  • question_answer
    The representation of Highway Underpass 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 :

    Sum of zeroes \[(\alpha +\beta )=0\]
    One zero \[(\alpha )=6\]
    \[\therefore \,\,\,\,\,\,\beta =0-6=-6\]
    \[{{x}^{2}}-(\text{Sum of zeroes})x+\text{Product of zeroes }=\text{ }0\] \[{{x}^{2}}-0x+6\times (-6)=0\]
    So, option [b] is correct.

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