Chapter 3 - Polynomial and Rational Functions - Section 3.3 Complex Zeros; Fundamental Theorem of Algebra - 3.3 Assess Your Understanding - Page 231: 25

$2i,-3,\frac{1}{2}$

Step 1. As $x=-2i$ is a zero, we have $x=2i$ also a zero and $(x-2i)(x+2i)=x^2+4$ is a factor of the function. Step 2. Use synthetic division (two steps) or long division (as shown in the figure) to get the quotient. Step 3. Find other zeros $2x^2+5x-3=0 \Longrightarrow (2x-1)(x+3)=0 \Longrightarrow x=-3,\frac{1}{2}$.