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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If \[\text{a}+\text{c}=\text{b},\]then a zero of the polynomial \[a{{x}^{2}}+bx+c,\]is:

    A) \[1\]

    B) \[0\]

    C) \[-1\]

    D) \[-\frac{1}{2}\]

    Correct Answer: C

    Solution :

    [c] Given \[a+c=b\]
    Let     \[f(x)=a{{x}^{2}}+bx+c\]
    put \[x=-1,\]
    \[\therefore \,\,\,\,\,\,\,\,\,f(-1)=a{{(-1)}^{2}}+b(-1)+c\]
    \[=a-b+c=(a+c)-b=b-b=0\]
    So, \[x=-1\] is a zero of given polynomial


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