Mathematics Algebras

Algebraic Expression is defined as the mathematical expression made up of variables and constants, in addition to algebraic operations like multiplication, subtraction, addition, etc There are mainly three kinds of Algebraic Expression as explained given below.            (a+b)² = a² + 2ab + b²            (a-b)² = a² – 2ab + b²

Algebraic expressions and equation                  An algebraic expressions is any numbers , variables or different operation combined together, while on equation is two different algebraic expressions combined together with an equal sign.

TERMS          4 ---> one term     4+x----->Two terms    4÷x------>one term  4+x-y------>Three terms  4x------->one term        +  -  separate      × ÷  Do not separate 

ALGEBRAIC EXPRESSIONS  SUM sum of 3 and 7    3+7 ( numerical expression) sum of a number and 7  x+7 (Equation expressions) Sum of a number and 7 equation 12           x+7=12  (Equations)

DEGREE OF POLYNOMIAL                      The degree of a polynomial  is the largest of the degrees of the individual  terms.  Add the degrees of  the  variables of each term to decide  what is the degree of the polynomial.                   Degree of terms 1is 2 (1+1=2)                 Degree of terms 2 is 6 (2+4=6)                Degree of terms 3 is 7 (5+2=7)                    is the degree of the polynomial.                       

POLYNOMIAL EQUATION                A Polynomial equation  in two  variable  is an equation of the from                 P(x,y)= Q( x,y)            Where both P(x,y)and Q(x,y) are Polynomial is two variable.  EXAMPLE:                  *  xy+2 =y^2-3x-4                       (xy+2  is a quadriatic polynomial.  So is y^2-3x-4)                * y-x=2                (y-x is a linear Polynomial. 2 is a constant Polynomial)                *x^2-5x+y-2= -7xy-y+2              *3x^2-xy+4y^2-5x+6-7=0           Domain of Polynomial equation           ...