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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The number of zeroes that polynomial \[f(x)={{(x-2)}^{2}}+4\] can have is:                                   (CBSE 2012)

    A) 1

    B) 2

    C) 0

    D) 3

    Correct Answer: C

    Solution :

    [c] \[f(x)={{(x-2)}^{2}}+4={{(x-2)}^{2}}+{{(2)}^{2}}\]
    Sum of two perfect square is zero if each of them is zero
    \[\therefore \]  No value of x.


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