Answer
See graph and explanations.
Work Step by Step
Answer may vary, one possible general form for the given conditions is $f(x)=p(x-q)^m(x-r)^n$ where $m+n=4$ and $p$ is a constant, $q,r$ are the two real zeros.
An example is $f(x)=(x-1)^2(x-2)^2$ as shown in the figure.
