#### Answer

quotient $x^2+x-2$ and remainder $r(x)=0$

#### Work Step by Step

Step 1. Using long division as shown in the figure, we can obtain $\frac{x^3-2x^2-5x+6}{x-3}=x^2+x-2+\frac{0}{x-3}$
Step 2. We can identify the quotient as $x^2+x-2$ and the remainder as $r(x)=0$