Question

find the reminder when x cube +3x square +3x+1 is divided by x -1 /2

Answer 1

using remainder theorem

x=1/2

x^3+3x^2+3x+1

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

=1/8+3/4+3/2+1

=1+6+9+8/8

=24/8

=3

so the remainder is 3