Completing the Square examples: Sometimes, the quadratic polynomials are not easily factorable. For Example, consider It is difficult to make factors of In such a

# Category: Algebra

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. Just as sentences describe relationships between specific words, in algebra, equations describe relationships between variables.

Order of a Group: The order of group is the number of elements present in that group , also say it’s cardinality. It is denoted by or

Definition: A non empty set G having binary operation “*” (say) is called Monoid if it satisfies the following axioms: Closure Property w.r.t “” i.e,

Definition: A non empty set G having binary operation “*” (say) is called semi group in math if it satisfies the following two axioms: Closure

Closure Property w.r.t “” Definition: A non-empty set G having binary operation “*” (say) is called group in math if it satisfies the following axioms: