Video Instruction
 
Section 5.1 Polynomial Functions and Models
bullet5.1.1 - The definition of a polynomial function (5:50)
bullet5.1.2 - Power functions and their graphs (5:19)
bullet5.1.3 - What the degree of a polynomial and the leading coefficient of a polynomial tell us (8:53)
bullet5.1.4 - The zeros of a polynomial and multiplicity (7:23)
bullet5.1.5 - Sketching the graph of a polynomial that is in factored form (9:57)
bullet5.1.6 - Determining the behavior of a graph near its x-intercepts (12:24)
Section 5.4

Polynomial and Rational Inequalities

bullet5.4.1 - Solve polynomial inequalities (11:41)
bullet5.4.2 - Solve polynomial inequalities by graphing (7:08)
bullet5.4.3 - Solve rational inequalities (10:50)
Section 5.5

The Real Zeros of a Polynomial Function

bullet5.5.1 - The Division Algorithm (7:38)
bullet5.5.2 - The Remainder Theorem (7:13)
bullet5.5.3 - The Factor Theorem (7:00)
bullet5.5.4 - Using the Rational Zeros Theorem to list potential rational zeros of a polynomial (4:01)
bullet5.5.5 - Finding the zeros of a polynomial (10:51)
bullet5.5.6 - Solving equations (9:20)
bullet5.5.7 - The Intermediate Value Theorem (8:30)
bullet5.5.8 - Descartes' rule of signs (7:06)
Section 5.6

Complex Zeros; Fundamental Theorem of Algebra

bullet5.6.1 - Definition of a complex polynomial and The Fundamental Theorem. (5:32)
bullet5.6.2 - The Conjugate Pairs Theorem (5:03)
bullet5.6.3 - Finding all zeros of a complex polynomial (11:23)
bullet5.6.4 - Use one zero to find the remaining zeros of a polynomial function (11:22)