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    Which of the following is not a polynomial?
    Question

    Which of the following is not a polynomial?

    A.

    2x23x+52x^2-3x+√5

    B.

    (3x2)23x5√(3x^2 )-2√3x-5

    C.

    x+1xx+\frac{1}{x}

    D.

    None of these

    Correct option is C

    Solution:

    Concepts;

    A polynomial is an algebraic expression consisting of variables and coefficients, involving only non-negative integer exponents of the variable.
    Thus, an expression is NOT a polynomial if:
    It contains variables with negative exponents.
    It contains variables inside a square root (irrational exponents).
    It contains fractions with variables in the denominator.

    So that, option (c) x+1xx + \frac{1}{x} This is not a polynomial.

    Thus, the correct answer is (c).

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