Algebraic expressions which are not polynomials

Which of the following algebraic expressions are polynomials ?

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : sqrt2

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : 1/z-z+1

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : y^(-3)-y^(-1)+2

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : root(3)(z)+z/125

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : (x-1)/(sqrtx+1)

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : (x^(3)-27)/(x-3)

State whether the given algebraic expressions are polynomials or not.Justify. 10

Determine which of the following algebraic expressions are polynomials and which are not. Also, determine the degrees of those expressions which are polynomials : x^(3)-3/5x+sqrt2