5xy^2-7x^3y+2x+1 is a polynomial?

the term 5xy^2-7x^3y+2x+1 is polynomial.

Step-by-step explanation:

We need to determine that the term 5xy^2-7x^3y+2x+1 is a polynomial.

A polynomial is

combination of terms separated by + or - doesn't contain negative powers doesn't contain variables in the denominators or under radical expression or trigonometric expressions or logarithm

The term 5xy^2-7x^3y+2x+1 satisfies the definition of polynomial.

So, the term 5xy^2-7x^3y+2x+1 is polynomial.

For this case we have that by definition, a polynomial is an algebraic expression of sums, subtractions and ordered multiplications, composed of variables, constants and exponents.

A polynomial can have more than one variable, constants and exponents, which can only be whole positive numbers.

Thus, the given expression is a polynomial.

Answer:

If it is a polynomial