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Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
[1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed values).
Abeka Book, LLC, known as A Beka Book until 2017, is an American publisher affiliated with Pensacola Christian College (PCC) that produces K-12 curriculum materials that are used by Christian schools and homeschooling families around the world.
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
Harold R. Jacobs (born 1939), who authored three mathematics books, both taught the subject and taught those who teach it. [1] Since retiring he has continued writing articles, and as of 2012 had lectured "at more than 200" math conferences. His books have been used by some homeschoolers [2] and has inspired followup works.
Khan Academy is an American non-profit [3] educational organization created in 2006 by Sal Khan. [1] Its goal is to create a set of online tools that help educate students. [4] The organization produces short video lessons. [5] Its website also includes supplementary practice exercises and materials for educators.
This is a list of possibly nonassociative algebras.An algebra is a module, wherein you can also multiply two module elements. (The multiplication in the module is compatible with multiplication-by-scalars from the base ring).