tell whether the expression is a polynomial. if it is give it’s degree. if it’s not state why not.

We have the following expression given:
[tex]8x^3-\sqrt{2}[/tex]One important thing to remember is that by definition a polynomial can't contains decimal values. So on this case since sqrt(2) is not an integer we can conclude that this expression is NOT a polynomial. And the best answer would be:
A