Answer
Refer to the graph below.
Work Step by Step
The $x$-intercepts of the function's graph can be found by equating each factor to zero then solving each equation to obtain:
\begin{align*}
x+2&=0 &\text{or}& &x+1=0& &\text{or}& &x-2=0& &x-3=0\\
x&=-2 &\text{or}& &x=-1& &\text{or}& &x=2& &x=3\\
\end{align*}
Thus, the $x$-intercepts are $-2, -1, 2,$ and $3$.
The $y$_intercept of the function can be found by setting $x=0$ then solving for $y$:
\begin{align*}
P(0)&=(0+2)(0+1)(0-2)(0-3)\\
P(0)&=2(1)(-2)(-3)\\
P(0)&=12
\end{align*}
Thus, the $y$-intercept is $12$
Create a table of values to obtain the one below.
Then, plot each ordered pair and connect the points using a smooth curve.
Refer to the graph above.
