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

  • question_answer
    The quadratic polynomial of the two zeroes in the above shown graph are:

    A) \[k({{x}^{2}}-2x-8)\]

    B) \[k({{x}^{2}}+2x-8)\]

    C) \[k({{x}^{2}}+2x+8)\]

    D) \[k({{x}^{2}}-2x+8)\]

    Correct Answer: A

    Solution :

    The graph cut x-axis in the above graph at points \[-2\] and 4 which are the zeroes of the graph.                       
    Now, the required polynomial
    \[=k[{{x}^{2}}-(\text{sum of zeroes})x+\text{product of zeroes}]\]
    \[=k[{{x}^{2}}-(-2+4)x+(-2\times 4)]=k({{x}^{2}}-2x-8)\]
    where, k is an arbitrary constant.                         
    So, option [a] is correct.

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