10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The sum and product of zeroes of a quadratic polynomial are \[0\] and \[\sqrt{3}\] respectively. The quadratic polynomial is:

    A) \[{{x}^{2}}-\sqrt{3}\]

    B) (b)\[{{x}^{2}}+\sqrt{3}\]   

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

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

    Correct Answer: B

    Solution :

    [b] It is given that sum of zeroes = 0
    Product of zeroes \[=\sqrt{3}\]
    \[\therefore \] The required polynomial is
    \[{{x}^{2}}-(\text{Sum of the zeroes)x}+(\text{Product of the zeroes})\]    \[={{x}^{2}}-(0)x+\sqrt{3}\]i.e., \[{{x}^{2}}+\sqrt{3}\]


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