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

  • question_answer
    If the sum of zeroes of polynomial \[a{{x}^{2}}+5x-3a\]is equal to their product, then find the value of a

    A) -5

    B) -3

    C) \[-\frac{5}{3}\]

    D) \[\frac{5}{3}\]

    Correct Answer: D

    Solution :

    Given, \[a{{x}^{2}}+5x-3a\]
    According to question,
    Sum of zero = Product of zero
    \[\frac{-5}{a}=\frac{-3a}{a}\]
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,a=\frac{5}{3}\]


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