Question

find the remainder when X3+3x2 +3x+1 is divided by x+1​

Answer 1

Answer:

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

Answer 2

x=-1 (x+1=0)

by remainder theorem :

f(x)=x²+3x²+3x+1

•°• f(-1) = (-1)³+3(-1)²+3(-1)+1

= -1+3×1-3+1

=0

hence the remainder =0