Answer
See table.
Work Step by Step
Step 1. Given $f(x)=x^5+3x^4-x^3+2x+3$, we can identify 2 sign changes indicating that there could be 2 or 0 positive zeros. Put the numbers in the table.
Step 2. $f(-x)=-x^5+3x^4+x^3-2x+3$, we can identify 3 sign changes indicating that there could be 3 or 1 negative zeros. Put the numbers in the table.
Step 3. There should be 4 total zeros. thus the number of nonreal zeros will be the remaining after taking real zeros into account. Complete the table as shown.