Classifying Polynomials by Degree and Number of Terms

This video tutorial explains how to classify polynomials by examining their degree and number of terms. It begins with an introduction to quadratic trinomials and moves on to discuss terms and like terms, highlighting common misunderstandings. The tutorial then covers how to name polynomials based on their degree, using examples to illustrate the process. It also explains how to name polynomials by the number of terms, providing examples of monomials, binomials, trinomials, and polynomials. The video concludes with a summary of the classification process.

What is a term in a polynomial?

• A single number or variable, or a combination of both connected by addition

• A combination of numbers and variables connected by subtraction

• A single number or variable, or a combination of both connected by multiplication

• A combination of numbers and variables connected by division

Which of the following pairs are considered like terms?

• 2x^3 and 2x^2

• 7ab and 7ac

• 5x^2 and 3x^2

• 4y and 4z

How is a polynomial with a degree of 4 classified?

• Quartic

• Cubic

• Linear

• Quadratic

What is the degree of the polynomial 5x^6 - 4?

• 4

• 6

• 3

• 5

What is a polynomial with three terms called?

• Binomial

• Monomial

• Trinomial

• Polynomial