Question

Find the remainder of the polynomial x3+ 3x2+ 3x+1divided by x + 1.​

Answer 1

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:

yes ,we can solve this by remainder theorem or division method

Step-by-step explanation:

.i am using here remainder theorem..

.remainder theorem:

=x + 1 ( because given) and is also given value as g(x) consider it.

= now, we have to solve these equation first

=x + 1 =0

=x=0-1

=x= -1

now, we have solved this equation

next step,

=given  equation:x^3+ 3x^2 +3x + 1 in the question.

=now, we can consider p(x)=x^3+3x^2 +3x + 1

= (-1)^3 +3(-1)^2 +3 (-1) + 1

=-1 + 3 -3 + 1

=0 ( final answer) because -1 cancels with + 1 and +3 cancels with -3 so final answer 0

now we have found remainder theorem now,

division method , so i have used here only remainder theorem now i m gonna give example of division method

.refer the attachment thank you

if it was help full mark me as brain list