How to tell the difference between the leading coefficient and the degree of a polynomial

The video tutorial explains polynomials, focusing on the degree and leading coefficient. It begins with an introduction to polynomials and provides an example to illustrate the concept of degree. The tutorial then discusses organizing polynomials by degree and explains how to identify the leading coefficient. Finally, it covers identifying terms and their coefficients within a polynomial.

How many terms are there in the polynomial -X^4 + 1/2X^3 - 7X^2 + 3X + 5?

What is the coefficient of the term with the largest exponent in the polynomial?