Algebra 83 - Polynomials

Professor Von Schmohawk introduces polynomial functions, explaining their structure, components, and applications in various fields. The lecture covers monomials, polynomial structure, and general notation, emphasizing the importance of exponents and coefficients. It also discusses polynomial functions and their graphical representations, highlighting the differences between linear, quadratic, and higher-degree polynomials.

What is the degree of a polynomial and how is it determined?

Describe how to represent a polynomial using general notation.

What happens to the terms of a polynomial when a coefficient is zero?

How do the shapes of graphs of polynomial functions vary with different degrees?