Question

 If the index of each term of the algebraic expression in one variable is a _________ number, then the expression is called the polynomial​

Answer 1

Step-by-step explanation:

The algebraic expression in one variable is a polynomial if the index of variable of each term is a constant number.

Answer 2

If the index of each term of the algebraic expression in one variable is a whole number, then the expression is called the polynomial.

Explanation:

Polynomials in one variable are algebraic expressions that are in the form of $ax^{n}$ , where n is a whole number (or non negative integer number or whole number) and a is a real number which can be an integer (negative or positive number) and x is a variable.

In the expression $ax^{n}$ , n must be a whole number(0,1,2,3,4,5...),  n can't be negative because they will get reciprocal and the expression $ax^{n}$ doesn't form.