What is the leading coefficient test

The video tutorial explains the leading coefficient test for polynomials, focusing on how the degree and leading coefficient affect the graph's shape. It covers even and odd degree polynomials, discussing the impact of positive and negative leading coefficients. The tutorial emphasizes understanding these concepts through examples and concludes with a discussion on the possibilities of polynomial degrees and coefficients.

What is the effect on the graph of a cubic function when the leading coefficient is negative?

Can a polynomial have a degree that is neither odd nor even? Explain your reasoning.

Summarize the four possible cases for the leading coefficient test discussed in the lesson.