Classification of Polynomials and Degrees

This video tutorial explains how to classify polynomials by the number of terms and degree. It begins with an introduction to polynomials and monomials, followed by a detailed explanation of how to classify polynomials as monomials, binomials, or trinomials based on the number of terms. The video then covers classifying polynomials by degree, explaining terms like constant, linear, quadratic, and cubic. Finally, the tutorial provides examples and practice problems to reinforce the concepts.

What is a polynomial?

• A sum or difference of monomials

• A product of two numbers

• A fraction

• A single variable

Which of the following is NOT a monomial?

• 5x

• 7

• 3x^2

• x^-1

What is a monomial?

• A number or variable

• A sum of variables

• A variable in the denominator

• A product of a number and a variable with a positive integer exponent

How are terms in a polynomial separated?

• By multiplication

• By division

• By addition or subtraction

• By exponents

What do you call a polynomial with two terms?

• Binomial

• Monomial

• Trinomial

• Quadrinomial

Which of the following is a trinomial?

• x^3

• 7

• 2x^2 + 3x + 1

• 5x + 3

What is the degree of a polynomial?

• The coefficient of the first term

• The number of terms

• The highest exponent of the variable

• The sum of all exponents

What is a polynomial of degree zero called?

• Quadratic

• Linear

• Cubic

• Constant

What is a polynomial of degree one called?

• Linear

• Quadratic

• Cubic

• Quartic

What is a polynomial of degree two called?

• Linear

• Cubic

• Quartic

• Quadratic