about account add arrow-down arrow-left arrow-right arrow-up back-arrow register-arrow book-mobile book categories chat-bubble-mobile chat-bubble close college contact-us credit-card drag email-square facebook-mobile facebook-square facebook faq film history home load modal-error person pinterest-square play-mobile play queue remove resume search share show star tick trailer trash twitter-mobile twitter-square twitter university warning warning youtube-square open-eye close-eye promo-tag tag check info info active
logo
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

Recommended For You See all 10

1 10
Image of Change and Motion: Calculus Made Clear, 2nd Edition
Change and Motion: Calculus Made Clear, 2nd Edition
24 Lectures
Image of Algebra I
Algebra I
36 Lectures
Image of Mathematics Describing the Real World: Precalculus and Trigonometry
Mathematics Describing the Real World: Precalculus and…
36 Lectures
Image of Understanding Calculus: Problems, Solutions and Tips
Understanding Calculus: Problems, Solutions and Tips
36 Lectures
Image of Understanding Calculus II: Problems, Solutions, and Tips
Understanding Calculus II: Problems, Solutions, and…
36 Lectures
Image of Understanding Multivariable Calculus: Problems, Solutions, and Tips
Understanding Multivariable Calculus: Problems,…
36 Lectures
Image of Geometry: An Interactive Journey to Mastery
Geometry: An Interactive Journey to Mastery
36 Lectures
Image of Big Data: How Data Analytics Is Transforming the World
Big Data: How Data Analytics Is Transforming the World
24 Lectures
Image of The Secrets of Mental Math
The Secrets of Mental Math
12 Lectures
Image of The Joy of Mathematics
The Joy of Mathematics
24 Lectures

Reviews

e********e
February 16, 2018

Reply

Delete

g********m
September 12, 2017

Reply

Delete

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)!

Reply

Delete