Question 310613
Why not try synthetic division in place of long division?

I got x^2 - 3x + 4 - [19/(x+3)] as the answer.

NOTE: x^2 - 3x + 4 = quotient, -19 = remainder and (x+3) = divisor

To learn how to use this method, visit the link below.

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut37_syndiv.htm