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10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

  • question_answer
    Case Study : Q. 36 to 40
    Naveeka everyday goes to swimming. One day, Naveeka noticed the water coming out of the pipes to fill the pool.
    She then told her brother that the shape of the path of the water falling is like that of a parabola and also that a parabola can be represented by a quadratic polynomial which has atmost two zeroes.
    Based on the given information, answer the following questions.
    The number of zeroes that polynomial \[f(x)={{(x+2)}^{2}}+6\]can have is:

    A) 0

    B) 1

    C) 2

    D) 3

    Correct Answer: A

    Solution :

    We have, \[f(x)={{(x+2)}^{2}}+6\]
    \[={{x}^{2}}+4+4x+6\]
    \[={{x}^{2}}+4x+10\]
    i.e., it has no factorisation.
    \[\therefore \] No real value of x is possible i.e, no zero.                
    So, option [a] is correct.


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