Answer
$f(x)=\frac{1}{5}(x+5)(x-3)^2$
Work Step by Step
Step 1. Identify zeros from the graph: $x=-5,3,3$
Step 2. Write a form of the polynomial: $f(x)=k(x+5)(x-3)(x-3)$ where $k$ is unknown.
Step 3. As point $(0,9)$ is on the curve, we have $f(0)=k(0+5)(0-3)(0-3)=9$, thus $k=\frac{1}{5}$
Step 4. $f(x)=\frac{1}{5}(x+5)(x-3)^2$
