Algebra-2

1. Recall the definition of a polynomial:

A polynomial in one variable  is an expression of the form , where  is a non-negative integer () and  are constants.

 

2. Analyze each function:

A.For :

The function  is a logarithmic function. It is not in the form of  with non-negative integer exponents of . So  is not a polynomial.

 

B.For :

We can rewrite  as . Since the exponent of  is , which is a negative integer, it does not satisfy the condition that the exponents of  in a polynomial must be non-negative integers. So

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