14. Factorisation – Class 8 Mathematics NCERT Chapter 14 Complete Guide (CBSE)

NCERT Class 8 Mathematics Chapter 14: Factorisation – All Exercise Solutions | CBSE Board

Chapter 14: Factorisation

Exercise 14.1

1. Find the common factors of the given terms.
(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Solution: (i) We have,

and

The common factor of and is

(ii)

We have,

and

The common factor of and is

(iii)

We have,

and

The common factor of and is
(iv)

And

The common factor of and is 2 .

(v)

We have,

The common factor of and is .
(vi)

We have,

The common factor of and is

(vii)

We have,

and

The common factor of and is
(viii)

We have,

The common factor of and is

2. Factorise the following expressions.
(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

(vi) We have,

(vii) We have,

(viii) We have,

(ix) We have,

(x) We have,

3. Factorise.
(i)

(ii)

(iii)

(iv)

(v)

Solution: (i) We have.

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

Exercise 14.2

1. Factorise the following expressions.
(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(Hint: Expand

first)

(viii)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

(vi) We have,

(vii) We have,

(viii) We have,

2. Factorise.
(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

(vi) We have,

(vii) We have,

(viii) We have,

3. Factorise the expressions.
(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

Solution: (i) We have,

(ii) We have,

(iii) We have,
(iv) We have,

(v) We have,

(vi) We have,

(vii) We have,

(viii) We have,

(ix) We have,

4. Factorise.
(i)

(ii)

(iii)

(iv)

(v)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

5. Factorise the following expressions.
(i)

(ii)

(iii)

Solution: (i)We have,

(ii) We have,

(iii) We have,

Exercise 14.3

1. Carry out the following divisions.
(i)

(ii)

(iii)

(iv)

(v)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

2. Divide the given polynomial by the given monomial.
(i)

(ii)

(iii)

(iv)

(v)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

3. Work out the following divisions.
(i)

(ii)

(iii)

(iv)

(v)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

4. Divide as directed.
(i)

(ii)

(iii)

(iv)

(v)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

5. Factorise the expressions and divide them as directed.
(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Solution: (i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

(vi) We have,

(vii) We have,

Exercise 14.4

Find and correct the errors in the following mathematical statements.
1.

Solution:

10. Substituting

in
(a)

gives

(b)

gives

(c)

gives

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

Solution:

Posted 3 months ago

14. Factorisation – Class 8 Mathematics NCERT Chapter 14 Complete Guide (CBSE)

NCERT Class 8 Mathematics Chapter 14: Factorisation – All Exercise Solutions | CBSE Board

Chapter 14: Factorisation

Exercise 14.1

Exercise 14.2

Exercise 14.3

Exercise 14.4

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