Answer
quotient $x+5$, remainder $r(x)=0$
Work Step by Step
Step 1. Using long division as shown in the figure, we can obtain $\frac{x^2+3x-10}{x-2}=x+5+\frac{0}{x-2}$
Step 2. We can identify the quotient as $x+5$ and the remainder as $r(x)=0$