Question

find the remainder when x^3+3x^2+3x+1 is divided by x-1/2​

Answer 1

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