Express
3x2+2x−23x+3\displaystyle \frac{3x^2 + 2x - 23}{x + 3}x+33x2+2x−23
in the form
Ax+B+Cx+3\displaystyle Ax + B + \frac{C}{x + 3}Ax+B+x+3C
where AAA, B B\,B and C C\,C are integers.