The zeros of a cubic function are -2, 1, and 3.
(a)
The simplest way to construct an equation that has a, b, and c as its zeros is:
[tex]f(x)=(x-a)(x-b)(x-c)[/tex]From the problem, we identify:
[tex]\begin{gathered} a=-2 \\ b=1 \\ c=3 \end{gathered}[/tex]Then:
[tex]f(x)=(x+2)(x-1)(x-3)[/tex](b)
The graph of the function is:
