**5.** Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and

**(i)** deg p(x)=deg q(x) **(ii)** deg q(x)=deg r(x) (**iii)** deg r(x)=0

**Solution (i)**

Let **p(x)=**

**g(x)=3**

**So, we can see in this example that deg p(x)=deg q(x)=2**

**Solution (ii)**

Let p(x)=

And, g(x)=

**We can see in this example that deg q(x)=deg r(x) =1**

**Solution (iii)**

Let p(x)=

g(x) =

We can see in this example that **deg r(x)=0**