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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The quadratic polynomial whose zeroes are \[2\sqrt{7}\]and \[-5\sqrt{7}\] is

    A) \[{{x}^{2}}-3\sqrt{7}x-70\]

    B) \[{{x}^{2}}+3\sqrt{7}x+70\]

    C) \[{{x}^{2}}+3\sqrt{7}x-70\]

    D) \[{{x}^{2}}-3\sqrt{7}x+70\]

    Correct Answer: C

    Solution :

    Sum of zeroes  \[=2\sqrt{7}+\left( -5\sqrt{7} \right)=-3\sqrt{7}\]
     Product of zeroes \[=2\sqrt{7}\times \left( -5\sqrt{7} \right)=-70\]
     The quadratic polynomial are
    \[{{x}^{2}}-\](sum of zeroes) x + product of zeroes
    \[{{x}^{2}}-\left( -3\sqrt{7} \right)x-70\]
    \[={{x}^{2}}+3\sqrt{7}x-70\]
     


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