Classify a polynomial then determining if it is a polynomial or not

The video tutorial explains how to classify polynomials by determining the leading coefficient and degree. It outlines the rules for identifying monomials, emphasizing the absence of negative exponents, variables in the denominator, and variable multiplication. The tutorial also discusses the impact of rational powers and roots on polynomial classification, concluding that polynomials with rational powers cannot be classified as true polynomials.

What are the criteria for a mathematical expression to be classified as a polynomial?

Explain why negative exponents disqualify an expression from being a polynomial.

What is the significance of having variables in the denominator when classifying polynomials?

Describe the restrictions on the multiplication of variables in a polynomial.

Why are rational powers and roots considered disqualifying factors for polynomials?