Writing the polynomial in standard form so that you can find end behavior

The video tutorial explains how to rewrite equations in standard form, focusing on the importance of arranging terms by descending powers. It covers the concepts of degree and leading coefficient, and how these affect the end behavior of polynomial graphs. The tutorial emphasizes the need for practice and reviewing notes to understand these concepts thoroughly.

What is the standard form of a polynomial and why is it important to write it in this form?

How do you determine the degree of a polynomial and what does it signify?

Explain the significance of the leading coefficient in a polynomial.

What is the end behavior of a polynomial with an even degree and a negative leading coefficient?

How does the leading coefficient affect the direction in which the graph of a polynomial opens?