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A combination of constant and variables connected by some or all at the the four fundamental operations, additions, substraction, multiplication & division is called an algabric expression

e.g- 3x + zy

**Terms**:- the different part of an algebraic expression separated by sign+ or – are called the terms of an expression.

e.g. 3x+2y (term – 3x & 2y)

factor of terms :- we can factroized all terms all terms.-

e.g 3x + 2y

3x = 3×x

2y = 2×y

Types of algebaric expressions.

**Monomial**– which contains only one term is said a monimial.

**Ginomial**– which contains two terms e.g. 3x + 2y

**Trinomials**– which contains three terms – e.g- 3x +2y +z

**Quadrinomials** – which contains four terms e.g. 2x + 3y + z-6

**Polynomials**– which contains one or more terms.

**Degree of polynomials** The highest power of the variable in a polynomials is called its degree.

$x^{3}+3, \frac{1}{2}, y^3+1$ Here the degree of the polynomial is 3

**Linear polynomial**– a polynomial of degree is called a linear polynomials. E.g.- x+3

**Quadratic polynomials**– a polynomials of degree 2 is called a quadratic polynomials.

E.g. (x+2)(x+3) = x2 + 5x + 6

**Cubic polynomial**– A polynomial of degree 3 is called cubic polynomials.

e.g. degree of the term- 3x =1

2xy = 1+1 = 2

3x2g = 2 = 1 = 3

Algebraic expressions contains one or more forms and each terms contain variable and numerical coefficient, we find the value of terms to put the value of variables.

**Equation**– a statement of equality which invader one or more variable is called an equation. Terms of left hand side is equal to right hand side e.g – 3x+5 = 8

**Solution of an equation** e.g. 3x+5=8

**(1 )Trial & error method**– put the value of variable x, so that L.H.S= R.H.S.

Put the value of x= 1,2,3 who satisfy by the equation

3(1)=5 =8 the value of x= 1 is satisfied equation

**(2) (A)** if same number or terms is added, substract multiply or divide to both side of equation , the equation remain same (elemination method)

3x+5=8

3x=3(deduct 5 in both side)

X=1 (divid from 3 in both side)

**(B)** change in the side of required terms.

3x+5= 8

3x= 8-5

3x=3

x = 3/3 = 1