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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.
