Terms & Factors of an Expression

Suppose we have an expression

1.jpg

Here,

The terms are 2x & −3

& factors of 2 are 2, x

Here, −3 is a constant

 

For 4x 3 − 9xyz

2.jpg

The terms are 4x 3 and −9xyz

and factors of 4x 3 are 4, x, x and x

and factors of −9xyz are −9 , x, y, z

 

25x + y

3.jpg

The terms are 25x + y

and factors of 25x are 25  and x

factors of y is y

 

15xy − 25y + 18

4.jpg

The terms are 15xy, –25y and 18

and factors of 15xy are  15, x  and y,

factors of  −25y are −25 and y

Here, 18 is a constant

 

The above tree formed to find terms & factors is called a tree diagram

We can also find terms & factors using table

Expression

Terms

Factors

2x − 3

 2x

−3

 2, x

− 3

4x3 − 9xyz

4x3

−9xyz

4, x, x, x

−9, x, y, z

25x + y

25x

  y

25, x

  y

15xy − 25y + 18

15xy

−25y

18

15, x, y

−25, y

18

 

  1. Chapter 12 Class 7 Algebraic Expressions
  2. Concept wise

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.