ShockFish

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 #1
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According to Wikipedia, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

 

The first one is just a mess.

The second one fits all conditions.

The third one has a variable exponent. 

The fourth one has a negative exponent. 

 

Thus the only one that is a polynomial is the second one, or x^4 - 2.

 

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ShockFish

Feb 3, 2022