1. a) Use synthetic division to find the quotient and the remain when

f(x) = x^4 - 4x^3 - 6x^2 + 7x +24 is divided by g(x) = x + 1/2

My answer: x^3 - 9/2x^2 + 15/4x + 41/8 remainder 343/16

I always doubt myself when I get answers as odd as these. Is this correct?