Identify the terms and their factors in 1 + x + x2

Terms in an algebraic expression are separated using addition(+) and subtraction(-) operators. In the expression 1 + x + x² there are three terms and those terms are added below:

Identify Terms and Their Factors in 1 + x + x²

Solution:  

Given:

• 1 + x + x²

Terms in the given algebraic expressions are:

1, x, x²

To find the factor of each term,

1 = 1 

x = x 

x² = x × x

Question 1: Identify the terms and their factors in 6xy² + 7x²y?

Solution: 

Given expression: 6xy² + 7x²y

Here, terms are 6xy² and 7x²y

therefore the factors of above term are 

6xy² =  6 × x × y × y

7x²y = 7 × x × x y 

Question 2: Identify the terms and their factors in mn + n?

Solution: 

Given expression: mn + n 

Here ,we will find factor of the terms are mn and n not the full expression 

therefore the factors of above term are

mn =  m × n

n = n 

Question 3: Identify the terms and their factors in 7y+5y²?

Solution: 

Given expression:  7y+5y²

Here ,we will find factor of the terms are 7y and 5y² not the full expression

therefore the factors of above term are

7y =  7 × y

5y² = 5 × y × y

Question 4: Identify the terms and their factors in x³y+xy³+7?

Solution: 

Given expression:   x³y+xy³+7

Here ,we will find factor of the terms are x³y ,xy³ and 7 not the full expression

therefore the factors of above term are

x³y =  x × x × x ×y

xy³ = x × y × y × y

7 = 7

Question 5: Identify the terms and their factors in y-3?

Solution: 

Given expression: y – 3

Here ,we will find factor of the terms are y and -3 not the full expression

therefore the factors of above term are

 y =  y × 1

-3 = -1 × 3