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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If the sum of the zeroes of the polynomial \[f(x)=2{{x}^{3}}-3k{{x}^{2}}+4x-5\] is 6, then the value of k is:

    A) 5

    B) 4  

    C) -2

    D) -4

    Correct Answer: B

    Solution :

    [b] The given polynomial is
    \[f(x)=2{{x}^{3}}-3k{{x}^{2}}+4x-5\]
    \[\therefore \]    Sum of zeroes \[=-\frac{(-3k)}{2}=\frac{3k}{2}\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,6=\frac{3k}{2}\] [sum of zeroes is 6 (Given)]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k=4\]


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