Answer
$(-\infty,-5)\cup(2,\infty)$
Work Step by Step
Step 1. Graph the function $f(x)=x^2+3x-10$ as shown in the figure.
Step 2. The zeros of the function can be identified as $x=-5,2$
Step 3. We can identify the regions where $f(x)\gt0$ as $(-\infty,-5)\cup(2,\infty)$
