CLASS 8 MATHS CHAPTER – 14 FACTORISATION

Exercise 14.1
 

Question 1.
Find the common factors of the given terms.


Solution :
(i) 12x = 2 × 2 × 3

36 = 2 × 2 × 3 × 3

Hence, the common factors are 2, 2 and 3 = 2 × 2 × 3 = 12
(ii)   2y = 2 ×y

 22xy = 2 × 11 × x × y

Hence the common factors are
2 and y  =  2 × y = 2y

(iii) 14 pq = 2×7× p × q

Question 2.
Factorize the following expressions.
       

Solution :




Taking common factors from each term,

 

Question 3.
Factorize:
    

Solution :
 



NCERT Solutions for Class 8 Maths Exercise 14.2
Question 1.
Factorize the following expressions:



Solution :


 

Question 2.
Factorize
(i)  
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii) 
(viii) 
Solution :
 

Question 3.
Factorize the expressions:
 

Solution :


 

Question 4.
Factorize:

Solution :
 

(iv)

 

Question 5.
Factorize the following expressions:
     

Solution :
 


NCERT Solutions for Class 8 Maths Exercise 14.3
Question 1.
Carry out the following divisions:
     

Solution :
 



Question 2.
Divide the given polynomial by the given monomial:
   

Solution :
 

 

Question 3.
Work out the following divisions:
 


Solution :
 
 

(iii)


Solution :
 

 





Solution :
 
 

Question 13.



Solution :
 

Solution :
L.H.S. = R.H.S.