Classifying a polynomial when it appears to be rational

The video tutorial explains how to classify a polynomial, determine its leading coefficient, and identify its degree. It begins by discussing the rules for identifying polynomials, such as ensuring no variables are in the denominator. The tutorial then demonstrates rewriting a given expression to a more familiar polynomial form, allowing for the identification of the leading term and its coefficient. The degree of the polynomial is determined by the highest power of the leading term. The tutorial concludes by summarizing the classification process and confirming the polynomial's degree and leading coefficient.

What is one of the rules for an expression to be considered a polynomial?

• It cannot have variables in the denominator.

• It must have a variable in the denominator.

• It can have variables multiplied by different variables.

• It must have a constant term.

How can you rewrite an expression to identify it as a polynomial?

• Multiply each term by a constant.

• Subtract a constant from each term.

• Divide each term by a constant.

• Add a constant to each term.

What is the degree of a polynomial with the highest power of 3?

• 4

• 2

• 1

• 3

What term describes a polynomial with three terms?

• Binomial

• Monomial

• Trinomial

• Quadrinomial

What is the leading coefficient of the polynomial 1/3 X^3 - 2/3 X^2 + 5/3?

• 1/3

• 3

• 2/3

• 5/3