# IDENTIFY PARTS OF AN EXPRESSION

## About "Identify parts of an expression"

Identify parts of an expression :

Here we are going to see how to identify the parts of an algebraic expression.

In an algebraic expression, we may find the following three parts.

(i)  Terms

(ii)  Factors

(iii)  Coefficients

What is term ?

A single variable or a constant or a combination of these as a product or quotient forms a term.

Examples of terms :

5, -a, 3ab, 21/7, ........... etc

Terms can be added or subtracted to form an expression.

What is factor ?

Consider the expression 3ab – 5a. It has two terms 3ab and -5a. The term 3ab is a product of factors 3, a and b. The term -5a is a product of -5 and a. The coefficient of a variable is a factor or factors.

Example :

In the term 3ab;

(i) the coefficient of ab is 3 (ii) the coefficient of a is 3b

(iii) the coefficient of b is 3a.

In the term –5a the coefficient of a is –5

What is constant ?

A number which is not having any variable with it is known as constant.

## Identifying parts of an expression using flow chart

Example 1 :

Identify the parts of the following expression

2x + 3

Solution :

In the expression 2x + 3 the term 2x is made of 2 factors and 2 and x while 3 is a single factor. Example 2 :

Identify the parts of the following expression

3ab - 5a

Solution : Example 3 :

Identify the number of terms and coefficient of each term in the expression.

x2 y2 -  5 x2 y + (3/5) xy2 - 11

Solution :

In the given expression, we have four terms.

Term 1  ==>  x2 y2

Term 2  ==>  -  5 x2 y

Term 3  ==>  (3/5) xy2

Term 4  ==>  -11

Coefficient of 1st term  =  1

Coefficient of 2nd term  =  -5

Coefficient of 3rd term  =  3/5

Since the last term is not having any variable, it is a constant term.

Example 4 :

Identify the number of terms, coefficient and factors of each term in the expression.

3abc - 5ca

Solution :

The given expression contains two terms.

Term 1  ==> 3abc

Term 2 ==>  -5ca

 Terms Coefficients Factors 1) 3abc 3 a, b and c 2) -5ca -5 c and a

Example 5 :

Identify the number of terms, coefficient and factors of each term in the expression.

1 + x + y2

Solution :

The given expression contains three terms.

Term 1  ==> 1

Term 2 ==>  x

Term 2 ==>  y2

 Terms Coefficients Factors 1) 1 - - 2) x 1 x 3) y2 1 y and y

Example 6 :

Identify the number of terms, coefficient and factors of each term in the expression.

3x2 y2 - 3xyz + z

Solution :

The given expression contains three terms.

Term 1  ==> 3x2 y2

Term 2 ==>   - 3xyz

Term 2 ==>  z

 Terms Coefficients Factors 1) 3x2 y2 3 x2 and y2 2) - 3xyz -3 x, y and z 3) z3 1 z, z and z

Example 7 :

The coefficient of x4 in -5x7 + (3/7) x4 - 3x3 + 7x2 - 1

Solution :

The coefficient of x4 is 3/7. After having gone through the stuff given above, we hope that the students would have understood "Identify parts of an expression"

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