Answer
See table.
Work Step by Step
Step 1. Given $f(x)=2x^3-4x^2+2x+7$, we can identify two sign changes indicating that there could be 2 or 0 positive zeros. Put these two numbers in the table as shown.
Step 2. $f(-x)=-2x^2-4x^2-2x+7$, we can identify 1 sign change indicating that there must be 1 negative zero. Put this number 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.