**Factorise :**

**(i)** ** (ii)**

**(iii)** **(iv)**

**Solution (i)**

Let

Factors of constant term 2 are 1 and 2.

Let's try if is the factor of .

By the Factor theorem, we can say that is the factor of

We can also find other factors of by doing long division but we will just split the terms to take common from .

**Solution (ii)**

Let

Factors of constant term -5 are 1 and 5

Let's try if is the factor of

which is not equal to 0.

Therefore, by factor theorem, we can say that is not the factor of .

Let's try if is the factor of .

Therefore, by factor theorem, is the factor of polynomial .

We will split terms accordingly to take common from . We can also do long division to find other factors of .

** Solution (iii)**

Let

Factors of constant term 20 are 1, 4 and 5.

Let's try if is the factor of

Therefore, by factor theorem, we can say that is the factor of .

Now, we will split the terms accordingly to take common from . We can also do long division to find other factors but it may take more time.

**Solution (iv)**

Let

Factors of constant term are 1.

Let's try if is the factor of .

Therefore, by factor theorem, we can say that is the factor of .

Now, we will split the terms accordingly to take common from . We can also do long division to find other factors but it may take more time.