Answer
See table.
Work Step by Step
Step 1. Given $f(x)=x^3+2x^2+x-10$, we can identify 1 sign change indicating that there must be 1 positive zero. Put this number in the table.
Step 2. $f(-x)=-x^3+2x^2-x-10$, we can identify 2 sign changes indicating that there could be 2 or 0 negative zeros. Put this numbers in the table.
Step 3. There should be 3 total zeros. thus the number of nonreal zeros will be the remaining after taking real zeros into account. Complete the table as shown.