#### Answer

$x=-1$ (multiplicity 2) and $x=\frac{2}{3}$

#### Work Step by Step

Step 1. Based on the graph, we can identify a zero of $x=-1$ with multiplicity 2.
Step 2. Using synthetic division as shown in the figure, the function can be factored as $f(x)=-(x+1)^2(3x-2)$ and the zeros are $x=-1$ (multiplicity 2) and $x=\frac{2}{3}$
Step 3. See graph in the figure.