Classifying Polynomials: Key Concepts and Techniques

The video tutorial explains how to classify polynomials by their degree and the number of terms. It covers the naming conventions for polynomials based on their degree, such as constant, linear, quadratic, cubic, quartic, and quintic, and how these names relate to their shapes. The tutorial also discusses naming polynomials based on the number of terms, using terms like monomial, binomial, and trinomial. Several examples are provided to illustrate the classification process, including special cases like constant monomials. The video concludes with a summary of the classification method.

What are the two main criteria for classifying polynomials?

• Length and width

• Color and texture

• Shape and size

• Degree and number of terms

What is the name of a polynomial with a degree of zero?

• Quadratic

• Cubic

• Linear

• Constant

Which term describes a polynomial with a degree of three?

• Quadratic

• Quintic

• Cubic

• Quartic

What is a polynomial with two terms called?

• Monomial

• Polynomial

• Trinomial

• Binomial

How many terms does a trinomial have?

• One

• Two

• Four

• Three

What would you call a polynomial with a degree of three and two terms?

• Linear Binomial

• Constant Binomial

• Cubic Binomial

• Quadratic Binomial

If a polynomial has a degree of two and one term, what is it called?

• Quadratic Monomial

• Cubic Monomial

• Linear Monomial

• Constant Monomial

What is the most common type of polynomial?

• Cubic Binomials

• Linear Monomials

• Quadratic Trinomials

• Constant Monomials

What is a polynomial with no exponent called?

• Constant

• Quadratic

• Linear

• Cubic

How many terms does a constant polynomial have?

• Four

• Three

• Two

• One