Answer
See table.
Work Step by Step
Step 1. Given $f(x)=5x^4+3x^2+2x-9$, we can identify 1 sign change indicating that there is 1 positive zero. Put the numbers in the table.
Step 2. $f(-x)=5x^4+3x^2-2x-9$, we can identify 1 sign change indicating that there is 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.