10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If \[a,\,a+b,\,\,a+2ab\] are zeroes of the cubic polynomial \[{{x}^{3}}-6{{x}^{2}}+3x+10,\] then \[a+b\] is equal to:

    A) \[1\]

    B) \[-1\]

    C) \[0\]

    D) \[2\]

    Correct Answer: D

    Solution :

    [d] Let \[f(x)={{x}^{3}}-6{{x}^{2}}+3x+10\]
    \[\therefore \]  Sum of zeroes \[=-\frac{(-6)}{1}\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,a+(a+b)+(a+2b)=6\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3a+3b=6\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,a+b=2\]


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