10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If the sum of the zeroes of a polynomial is \[-\frac{1}{6}\]and product of the zeroes of the polynomial is \[-2,\] then the polynomial is:

    A) \[{{x}^{2}}-\frac{1}{6}x+2\]

    B) \[{{x}^{2}}+\frac{1}{6}x-2\]

    C) \[6{{x}^{2}}-x+12\]

    D) \[6{{x}^{2}}+x-12\]

    Correct Answer: B

    Solution :

    [b] It is given that, sum of zeroes \[=-\frac{1}{6}\] and product of zeroes \[=-2\]. Hence, the required polynomial is \[{{x}^{2}}-(\text{sum of zeroes)}\,\text{x+}\,\text{(product of zeroes})\]
    \[={{x}^{2}}-\left( -\frac{1}{6} \right)x+(-2)\]i.e., \[{{x}^{2}}+\frac{1}{6}x-2\]


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