How do i graph the polynomial function of:

f(x)= (x+3)(x+1)(x-2) squared

Graphing it on your graphing calculator?

Or

Graphing it on paper?

On paper, you have zeros at -3, -1, and at x=2 At large negative x, (check me), the function is positive.
At x between -3 and -1, it is negative, nad between x of -1 and 2 it is positive, and greater than two it is positive. That ought to get you started. Make a table of values to fill in the details.

The graphing calc makes all this so easy.