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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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