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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If the sum and difference of zeroes of quadratic polynomial are - 3 and - 10, respectively. Then, the difference of the squares of zeroes is

    A) 20

    B) 30

    C) 15

    D) 25

    Correct Answer: B

    Solution :

    We have, \[\alpha +\beta =-3\]and \[\alpha -\beta =-10\] (assuming \[\alpha <\beta \]) \[\therefore \,\,\,\,\,\,\,\alpha =-\frac{13}{2}\] and \[\beta =\frac{7}{2}\] Now,      \[{{\alpha }^{2}}-{{\beta }^{2}}=30\]


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