find the remainder when p(x) = x3 + 3x2 - 2x + 4 is divided by 2x + 1

Question

anonymous · Answer

if u want to find it without division, put x=-1/2 in the polynomial

anonymous · Answer

(-1/2)^3+3(-1/2)^2-2(-1/2)+4=-1/8+3/4+3=-1+6+24/8=29/8

dumbcow · Answer

use long division

          .5x^2 + 1.25x - 1.625
2x+1 |x^3 +3x^2 -2x +4
         -( x^3  +.5x^2)
          _______________
                    2.5x^2 -2x
                 -(2.5x^2 +1.25x)
                _________________
                               -3.25x +4
                           -(-3.25x -1.625)
                           _________________
                                           5.625

remainder is 5.625