Monomials and Polynomials Concepts

The video tutorial introduces the concept of polynomials, starting with monomials, which are single terms consisting of numbers, variables, or their products with whole number exponents. It explains the characteristics of monomials, including the importance of whole number exponents, and provides examples of what constitutes a monomial and what does not. The tutorial then discusses the degree of a monomial, which is the sum of the exponents of its variables. It further explains how multiple monomials form polynomials, and how the degree of a polynomial is determined by the term with the highest degree. The video also covers the classification of polynomials based on the number of terms, introducing terms like binomial and trinomial.

What is a monomial?

• A variable with a negative exponent

• A number with a fractional exponent

• A number, variable, or product of both with whole number exponents

• A number or variable with addition

Which of the following is NOT a monomial?

• 3x^2

• 5y

• 7

• 2x^-1

Why is 2x^-5 not considered a monomial?

• It has a fractional exponent

• It has a negative exponent

• It has more than one term

• It is a constant

How do you determine the degree of a monomial?

• By summing the exponents of the variables

• By multiplying the exponents

• By adding the coefficients

• By counting the number of terms

What is the degree of the monomial 4x^3y^2?

• 3

• 5

• 2

• 4

What is a polynomial?

• A combination of monomials

• A single term with a variable

• A number with a negative exponent

• A variable with a fractional exponent

How is the degree of a polynomial determined?

• By the highest degree of its terms

• By the sum of all exponents

• By the sum of all coefficients

• By the number of terms

What is a binomial?

• A polynomial with two terms

• A polynomial with four terms

• A polynomial with three terms

• A polynomial with one term

Which of the following is a trinomial?

• x + y

• x^2 + 2x + 1

• x^3

• x^2 + 3

What do you call a polynomial with more than three terms?

• Binomial

• Monomial

• Trinomial

• Polynomial