Answer
See table.
Work Step by Step
Step 1. Given $f(x)=3x^4+2x^3-8x^2-10x-1$, we can identify 1 sign change indicating that there is 1 positive zero. Put the numbers in the table.
Step 2. $f(-x)=3x^4-2x^3-8x^2+10x-1$, 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.