Determine the end behavior of a polynomial

The video tutorial explains how to analyze the end behavior of a polynomial by focusing on its degree and leading coefficient. The instructor demonstrates how to rewrite a polynomial in descending order and discusses the significance of the degree and leading coefficient in determining the graph's end behavior. The tutorial covers how even and odd degrees, along with positive or negative leading coefficients, affect the graph's direction. The concept of infinity is also addressed, illustrating how the graph extends towards positive and negative infinity. The video concludes with a summary of the leading coefficient test.

Explain the significance of the degree of a polynomial function.

Describe the behavior of the graph of a polynomial function with an even degree and a negative leading coefficient.