Basic Concepts of Algebra
The Variables and constant coefficients combine to form algebraic terms and these algebraic terms combine to form Algebraic expressions. To combine the algebraic expressions mathematical operators are used.
Example of variable : x,y,z
Example of Constant Coefficient: 1,4,9,34
Example of algebraic term:
In an algebraic term , 3 is constant coefficient and is variable.
Those algebraic terms in which power of variables are same are like terms.
E.g. and are like terms.
and are like terms.
If an algebraic expression contain only one term, then it is called a Monomial .
If an algebraic expression contains two terms, then it is called a Binomial.
If an algebraic expression contains three terms, then it is called a Trinomial.
If an algebraic expression contains two or more terms, then it is called a Polynomial.
Polynomial in One Variable
If an algebraic expression contains only one variable, then it is called a Polynomial in one Variable.
Degree of a Polynomial
The greatest power of the variable in various terms is called Degree of a polynomial.
is a polynomial of degree 5.