Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.
2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)
Understanding i and the complex plane
Factoring and the Distributive Property 2
Using polynomial expressions and factoring polynomials.
Factoring and the Distributive Property
2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)
Discriminant of Quadratic Equations
Exploring quadratics and higher degree polynomials. Also in-depth look at rational functions.
Factoring and the Distributive Property 3
2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)
This book is organized into 5 chapters. The first chapter introduces real neutrosophic complex numbers. Chapter two introduces the notion of finite complex numbers; algebraic structures like groups, rings etc are defined using them. Matrices and polynomials are constructed using these finite complex numbers. Chapter three introduces the notion of neutrosophic complex modulo integers. Algebraic structures using neutrosophic complex modulo integers are built and around 90 ...
In this chapter we for the first time we define the notion of integer neutrosophic complex numbers, rational neutrosophic complex numbers and real neutrosophic complex numbers and derive interesting properties related with them.
Complex Roots from the Quadratic Formula
Understanding and solving equations with imaginary numbers. . Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists.
Where did the word Algebra and its underlying ideas come from
Videos exploring why algebra was developed and how it helps us explain our world.
23-26, mostly imaginary and complex numbers
Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.
27-31, complex numbers and conjugates
More advance ratio problem with algebra.
You have probably been wondering whether our powers of algebraic problem solving break down if we divide by the variable or we have entire expressions in denominator of a fraction. Well, they don't! In this topic, you'll learn how to interpret and manipul
A slightly more involved ratio problem with algebra
Why the abstraction of mathematics is so fundamental
13-16 (polynomial factoring and multiplication)
17-22, simplifying polynomials and algebraic expressions