Classifying Different Types of Polynomials

This video tutorial introduces polynomials, explaining what terms are and how they form polynomials. It covers naming conventions for polynomials based on the number of terms, such as monomials, binomials, and trinomials. The tutorial also discusses the degree of polynomials, which is determined by the highest degree term, and how to write polynomials in standard form. Finally, it provides examples and practice exercises for naming and ordering polynomials.

What is a term in the context of polynomials?

• A number or a product of a number and a variable

• A sum of multiple numbers

• A difference of multiple variables

• A quotient of two numbers

Which of the following is NOT a polynomial?

• 5x

• 3y^2

• x + 1

• 2 - 3

What do you call a polynomial with only one term?

• Binomial

• Trinomial

• Monomial

• Quadrinomial

How many terms does a binomial have?

• Four

• Two

• One

• Three

What is the term used for a polynomial with four terms?

• Quadrinomial

• Four-term polynomial

• Tetranomial

• Poly

How do you determine the degree of a term?

• By the constant term

• By the number of variables

• By the sum of the exponents of all variables

• By the coefficient

What is the degree of the term 3x^2y?

• 2

• 4

• 3

• 5

What do you call a polynomial with a degree of 2?

• Linear

• Quadratic

• Cubic

• Quartic

What is the leading coefficient in the polynomial 6x^3 + 2x^2 + 4?

• 4

• 3

• 2

• 6

How do you name a polynomial with a degree of 3 and three terms?

• Linear Trinomial

• Cubic Trinomial

• Quadratic Trinomial

• Cubic Binomial