Solution of Chapter 14. Factorisation (NCERT - Mathematics Book)

Chapter Exercises

Exercises 14.1

Exercises 14.2

Exercises 14.3

Exercises 14.4

Exercises 14.1

1

Find the common factors of the given terms.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

2

Factorise the following expressions.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

3

Factorise.

(i)

(ii)

(iii)

(iv)

(v)

Exercises 14.2

1

Factorise the following expressions.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii) (Hint: Expand first)

(viii)

2

Factorise

(i)

(ii)

(iii)

(iv)

(v) _{(l + m)}² - (l - m)²

(vi)

(vii)

(viii)

3

Factorise.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

4

Factorise.

(i)

(ii)

(iii)

(iv)

(v)

5

Factorise the following expressions.

(i)

(ii)

(iii)

Exercises 14.3

1

Carry out the following divisions.

(i)

(ii)

(iii)

(iv)

(v)

2

Divide the given polynomial by the given monomial.

(i)

(ii)

(iii)

(iv)

(v)

3

Work out the following divisions.

(i)

(ii)

(iii)

(iv)

(v)

4

Divide as directed.

(i)

(ii)

(iii)

(iv)

(v)

5

Factorise the expressions and divide them as directed.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Exercises 14.4

1

Find the correct the errors in the following mathematical statements.

2

Find the correct the errors in the following mathematical statements.

3

Find the correct the errors in the following mathematical statements.

2x + 3y = 5xy

4

Find the correct the errors in the following mathematical statements.

5

Find the correct the errors in the following mathematical statements.

6

Find the correct the errors in the following mathematical statements.

7

Find the correct the errors in the following mathematical statements.

8

Find the correct the errors in the following mathematical statements.

9

Find the correct the errors in the following mathematical statements.

10

Substituting in

(A) gives

(B) gives

(C) gives

11

Find the correct the errors in the following mathematical statements.

12

13

14

15

16

17

18

19

20

21