How to find the leading coefficient and degree to determine end behavior of a polynomial

The video tutorial explains the importance of writing polynomials in standard form, with powers in descending order. It guides students on identifying the degree and leading coefficient of a polynomial, determining whether the degree is odd or even, and whether the leading coefficient is positive or negative. The tutorial concludes by explaining how these factors influence the polynomial's end behavior, specifically for odd-degree polynomials with positive coefficients, which fall left and rise right.

What is the standard form of a polynomial, and why is it important?

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

What is the leading coefficient of a polynomial, and how is it identified?

Explain the significance of determining whether the degree of a polynomial is even or odd.

What does it mean for a polynomial to have a positive leading coefficient, and how does it affect the graph?