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

  • question_answer
    The quadratic polynomial whose zeroes are 5 and \[-12\] is given by:

    A) \[{{x}^{2}}+7x-60\]

    B) \[15{{x}^{2}}-x-6\]

    C) \[{{x}^{2}}-7x+60\]

    D) \[15{{x}^{2}}+x+6\]

    Correct Answer: A

    Solution :

    Required quadratic polynomial
    \[={{x}^{2}}-(sum\,\,of\,zeroes)x+(product\,\,of\,\,zeroes)\]\[={{x}^{2}}-(-12+5)x+(-12)\,(5)\]
    \[={{x}^{2}}+7x-60\]
    So, option [a] is correct.


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