ALGEBRA
Algebra is a very important topic in mathematics. This topic is generally used for solving equations.
Founders :
The major development of this topic was done in the ninth century by Arab mathematicians. In particular Al-Khwarzmi's book entitled "compendium on a calculation by completing and balancing" was and significant event in the history of mathematics. So he is considered as the father of algebra.
In the sixth and seventh centuries, Indian mathematicians Aryabhatta and Brahmagupta have worked on the topics linear equations and quadratic equations and general method of solving.
In the 19th century British mathematicians took great effort on developing this topic. The Peacock was the founder of axiomatic thinking in arithmetic. He is called as Euclid of algebra.
Topics of Polynomials
Terms factors and coefficients
Identify parts of an expression
Basic concept of polynomial
Multiplying polynomials
Multiply polynomial by a monomial
Multiplying binomials using FOIL method
Algebraic identities
Formula for (x + a) (x + b)
Applying the identities
Factorization
Factoring polynomials using algebraic identities
Factoring quadratic equations
Solve quadratic equations by factoring
Factoring trinomials in box method
Finding prime factorization of a number
Solving Equations
Writing and solving one step inequalities
Solving one step equations word problems
Writing and solving two step inequalities
Solving two step equations with algebra tiles
Modeling and solving two step equations using algebra tiles
Solving equations using substitution
Solving equations using elimination
Solving equations using cross multiplication method
Solving equations in graphing method
Solving absolute value equations
Solving absolute value inequalities
Solving absolute value equations on both sides
Square roots and squares
Radicals
Solving radical equations with radicals on both sides
Squares
Square roots of perfect square
Square roots of fractions and decimals
How to find square root of quadratic equation
How to find square root of polynomial
Finding square root by prime factorization method
Exponents and square roots
Other topics
L.C.M (least common multiple)
G.C.F(Greatest common factor)
Remainder theorem
Rationalize the denominator
Simplifying rational expression
Framing quadratic equation from roots
Relationship between roots and coefficients
Partial fractions
Roots of polynomial of degree 4
Roots of polynomial of degree 5
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