Question

Find the remainder when 3 − 3 2 + 3 + 1 is divided by − 1/2​

Answer 1

Answer:

Answer

Dividing x

3

+3x

2

+3x+1 by x+1

So, x

3

+3x

2

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

Put, x+1=0

∴ x=−1

Let p(x)=x

3

+3x

2

+3x+1

Putting x=−1

p(−1)=(−1)

3

+3(−1)

2

+3(−1)+1

=−1+3−3+1

=0

Thus, reminder of p(−1)=0.

∴ We will get reminder as 0 when x

3

+3x

2

+3x+1 is divided by x+1.