Answer
See table.
Work Step by Step
Step 1. Given $f(x)=2x^5-x^4+x^3-x^2+x+5$, we can identify 4 sign changes indicating that there could be 4, 2 or 0 positive zeros. Put the numbers in the table.
Step 2. $f(-x)=-2x^5-x^4-x^3-x^2-x+5$, we can identify 1 sign change indicating that there must be 1 negative zero. 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.