### 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.