Taught by Professor James A. Sellers | 31 min | Categories: The Great Courses Plus Online Mathematics Courses

Explore two additional tools for identifying the roots of polynomial equations: Descartes' rule of signs, which narrows down the number of possible positive and negative real roots; and the fundamental theorem of algebra, which gives the total of all roots for a given polynomial.

## 36 Lectures

1

An Introduction to Algebra II

0 of 31 min

2

Solving Linear Equations

0 of 31 min

3

Solving Equations Involving Absolute Values

0 of 31 min

4

Linear Equations and Functions

0 of 29 min

5

Graphing Essentials

0 of 28 min

6

Functions—Introduction, Examples, Terminology

0 of 30 min

7

Systems of 2 Linear Equations, Part 1

0 of 29 min

8

Systems of 2 Linear Equations, Part 2

0 of 30 min

9

Systems of 3 Linear Equations

0 of 31 min

10

Solving Systems of Linear Inequalities

0 of 29 min

11

An Introduction to Quadratic Functions

0 of 32 min

12

Quadratic Equations—Factoring

0 of 31 min

13

Quadratic Equations—Square Roots

0 of 31 min

14

Completing the Square

0 of 30 min

15

Using the Quadratic Formula

0 of 30 min

16

Solving Quadratic Inequalities

0 of 30 min

17

Conic Sections—Parabolas and Hyperbolas

0 of 31 min

18

Conic Sections—Circles and Ellipses

0 of 31 min

19

An Introduction to Polynomials

0 of 32 min

20

Graphing Polynomial Functions

0 of 30 min

21

Combining Polynomials

0 of 33 min

22

Solving Special Polynomial Equations

0 of 32 min

23

Rational Roots of Polynomial Equations

0 of 31 min

24

The Fundamental Theorem of Algebra

0 of 31 min

25

Roots and Radical Expressions

0 of 31 min

26

Solving Equations Involving Radicals

0 of 31 min

27

Graphing Power, Radical, and Root Functions

0 of 31 min

28

An Introduction to Rational Functions

0 of 31 min

29

The Algebra of Rational Functions

0 of 31 min

30

Partial Fractions

0 of 30 min

31

An Introduction to Exponential Functions

0 of 30 min

32

An Introduction to Logarithmic Functions

0 of 31 min

33

Uses of Exponential and Logarithmic Functions

0 of 29 min

34

The Binomial Theorem

0 of 31 min

35

Permutations and Combinations

0 of 32 min

36

Elementary Probability

0 of 33 min

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