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

Terms & Factors of an Expression - Part 2

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

Terms & Factors of an Expression - Part 3

The terms are 25x + y

and factors of 25x are 25  and x

factors of y is y

 

15xy − 25y + 18

Terms & Factors of an Expression - Part 4

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

4x 3 − 9xyz

4x 3

−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

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.