Question

find the remainder when x^3+3x^2+3x+1 is divided with x-1/4

Answer 1

Answer:

Dividing x  

3

+3x  

2

+3x+1 by x

So, x  

3

+3x  

2

+3x+1 is dividend and x is divisor.

Put, x=0

Let p(x)=x  

3

+3x  

2

+3x+1

Putting x=0

p(0)=(0)  

3

+3(0)  

2

+3(0)+1

          =0+0+0+1

          =1

Thus, reminder of p(0)=1.

∴  We will get reminder as 1 when x  

3

+3x  

2

+3x+1 is divided by x.