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24

The Fundamental Theorem of Algebra

Lecture no. 24 from the course: Algebra II

The Fundamental Theorem of Algebra

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
Image of An Introduction to Algebra II
An Introduction to Algebra II
0 of 31 min
2
Image of Solving Linear Equations
Solving Linear Equations
0 of 31 min
3
Image of Solving Equations Involving Absolute Values
Solving Equations Involving Absolute Values
0 of 31 min
4
Image of Linear Equations and Functions
Linear Equations and Functions
0 of 29 min
5
Image of Graphing Essentials
Graphing Essentials
0 of 28 min
6
Image of Functions—Introduction, Examples, Terminology
Functions—Introduction, Examples, Terminology
0 of 30 min
7
Image of Systems of 2 Linear Equations, Part 1
Systems of 2 Linear Equations, Part 1
0 of 29 min
8
Image of Systems of 2 Linear Equations, Part 2
Systems of 2 Linear Equations, Part 2
0 of 30 min
9
Image of Systems of 3 Linear Equations
Systems of 3 Linear Equations
0 of 31 min
10
Image of Solving Systems of Linear Inequalities
Solving Systems of Linear Inequalities
0 of 29 min
11
Image of An Introduction to Quadratic Functions
An Introduction to Quadratic Functions
0 of 32 min
12
Image of Quadratic Equations—Factoring
Quadratic Equations—Factoring
0 of 31 min
13
Image of Quadratic Equations—Square Roots
Quadratic Equations—Square Roots
0 of 31 min
14
Image of Completing the Square
Completing the Square
0 of 30 min
15
Image of Using the Quadratic Formula
Using the Quadratic Formula
0 of 30 min
16
Image of Solving Quadratic Inequalities
Solving Quadratic Inequalities
0 of 30 min
17
Image of Conic Sections—Parabolas and Hyperbolas
Conic Sections—Parabolas and Hyperbolas
0 of 31 min
18
Image of Conic Sections—Circles and Ellipses
Conic Sections—Circles and Ellipses
0 of 31 min
19
Image of An Introduction to Polynomials
An Introduction to Polynomials
0 of 32 min
20
Image of Graphing Polynomial Functions
Graphing Polynomial Functions
0 of 30 min
21
Image of Combining Polynomials
Combining Polynomials
0 of 33 min
22
Image of Solving Special Polynomial Equations
Solving Special Polynomial Equations
0 of 32 min
23
Image of Rational Roots of Polynomial Equations
Rational Roots of Polynomial Equations
0 of 31 min
24
Image of The Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra
0 of 31 min
25
Image of Roots and Radical Expressions
Roots and Radical Expressions
0 of 31 min
26
Image of Solving Equations Involving Radicals
Solving Equations Involving Radicals
0 of 31 min
27
Image of Graphing Power, Radical, and Root Functions
Graphing Power, Radical, and Root Functions
0 of 31 min
28
Image of An Introduction to Rational Functions
An Introduction to Rational Functions
0 of 31 min
29
Image of The Algebra of Rational Functions
The Algebra of Rational Functions
0 of 31 min
30
Image of Partial Fractions
Partial Fractions
0 of 30 min
31
Image of An Introduction to Exponential Functions
An Introduction to Exponential Functions
0 of 30 min
32
Image of An Introduction to Logarithmic Functions
An Introduction to Logarithmic Functions
0 of 31 min
33
Image of Uses of Exponential and Logarithmic Functions
Uses of Exponential and Logarithmic Functions
0 of 29 min
34
Image of The Binomial Theorem
The Binomial Theorem
0 of 31 min
35
Image of Permutations and Combinations
Permutations and Combinations
0 of 32 min
36
Image of Elementary Probability
Elementary Probability
0 of 33 min

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Reviews

d********m
February 5, 2017
This lecture combined with Lecture 23 are my favorite of all Dr. Sellers' lectures so far. I was so interested in the Fundamental Theorem of Algebra, I looked it up in Wikipedia. I was amazed that I could follow most of the information in the History section (I was mostly interested in who to attribute the Fundamental Theorem to)!

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