How to determine end behavior of a polynomial using leading coefficient test

The video tutorial explains how to determine the end behavior of a polynomial by analyzing its degree and leading coefficient. It emphasizes the importance of arranging the polynomial in descending order of powers. The degree, being the highest exponent, and the leading coefficient, whether positive or negative, are crucial in predicting the graph's behavior. For an even degree with a positive leading coefficient, the graph rises to both the left and right. The tutorial concludes with a formal description of end behavior, noting that as x approaches infinity or negative infinity, y also approaches infinity.

Explain the significance of the leading coefficient test for even degree polynomials.

Describe the behavior of the graph of a polynomial as x approaches positive and negative infinity.