Question

Find remainder when x^3 + 3x^2 + 3x +1 is divided by (x-1) by using factor theorem​

Answer 1

Answer:

see the attachment

Step-by-step explanation:

By remainder theorem

x+1=0

x=−1

p(x)=x

3

+3x

2

−3x−1p(−1)

=(−1)

3

+3(−1)

2

−3(−1)−1

=−1+3(1)+3−1

=−1+3+3−1

=6−2

=4

Thus remainder is 4

Answer 2

Answer:

Given polynomial is f(x)=x3+3x2+3x+1

It has to be divided by x+1.

Then x+1=0 or x=−1 

Put the value x=−1, we get

f(−1)=(−1)3+3(−1)2+3(−1)+1

⇒f(−1)=−1+3−3+1

⇒f(−1)=0

So, the remainder is 0, then x+1 is divided polynomial x3+3x2+3x+1.