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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The zeroes of the quadratic polynomial \[{{x}^{2}}+7x+12\] are:

    A) \[-2,-5\]

    B) \[-3,-4\]

    C) \[2,5\]

    D) \[3,4\]

    Correct Answer: B

    Solution :

    [b] Let \[f(x)={{x}^{2}}+7x+12\]
    \[={{x}^{2}}+4x+3x+12\]
    \[=x(x+4)+3(x+4)=(x+4)\,(x+3)\]
    For zeroes of \[f(x),\]
                \[(x+4)\,\,(x+4)=0\]
                \[x+4=0\] or \[x+3=0\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,x=-4,-3\]


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