Determining if a equation is a polynomial or not

The video tutorial explains how to classify polynomials and determine their degree and leading coefficient. It outlines the rules for classifying polynomials, such as not having variables in the denominator or multiplying different variables in the same term. An example is provided where a term with X^3 * Y is shown not to be a polynomial, as it violates these rules. Consequently, the degree and leading coefficient cannot be determined for such terms.

What is the initial task when dealing with polynomials?

• To find the roots of the polynomial

• To simplify the polynomial

• To classify the polynomial and determine its degree and leading coefficient

• To graph the polynomial

Which of the following is NOT allowed in a polynomial expression?

• A single variable term

• A variable raised to a power

• A constant term

• A variable in the denominator

What is a necessary condition for an expression to be classified as a polynomial?

• It must have at least three terms

• It must have a leading coefficient of 1

• It must not have variables in the denominator

• It must be a quadratic equation

Why can't the expression X^3 * Y be classified as a polynomial?

• Because it has a variable in the denominator

• Because it involves multiplication of different variables

• Because it is a constant term

• Because it is a monomial

What is the consequence of an expression not meeting the polynomial rules?

• It cannot be classified as a polynomial

• It can be simplified to a polynomial

• It can be graphed as a polynomial

• It can still be used to find roots