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Polynomials

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  1. Introduction to Polynomials
    3 Topics
    |
    2 Quizzes
  2. Classification of Polynomials
    6 Topics
    |
    7 Quizzes
  3. Factorization of Quadratic Polynomials
    8 Topics
    |
    6 Quizzes
  4. Theorems about Polynomial Division
    2 Topics
    |
    2 Quizzes
  5. Algebraic Identities
    3 Topics
    |
    2 Quizzes
  6. Roots of a Polynomial
    4 Topics
    |
    3 Quizzes

Quizzes

Lesson 2, Topic 3
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Classifying based off the Degree

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Understanding Polynomial Degrees and Classification
This video discusses how to classify a polynomial function based on its degree. The degree of a polynomial refers to the highest power of its variable. The video presents a table that lists the different names for polynomials based on their degrees. For instance, a polynomial with a degree of one is called a linear polynomial, while a polynomial with a degree of two is called a quadratic polynomial.

To determine the degree of a polynomial, one should look for the variable with the highest power. If the polynomial only has a variable raised to the first power, it is considered linear. However, if the polynomial has a variable raised to a power higher than one, it is no longer linear, and we use a different name to describe it.

The video also explains that the term “linear” refers to the fact that the polynomial only has an x term raised to the first power. Any variable with a power higher than one would make the polynomial non-linear. The video provides examples of linear and non-linear polynomials, making it easy to understand how to classify polynomials based on their degree.