Mathematica Starter for Precalculus Lab 6

For 1(c) you are to plot the following polynomial:

({{({{p(x)=(((x-2))^2)(x-(3+i))(x-(3-i))}})}})

You can use the command below.  You will need to adjust the x and y-ranges appropriately.  Notice that i must be capitalized for Mathematica to recognize it as the constant i=(Sqrt[-1]) and not interpret it as a variable.

p[x_]:=(x-2)^2(x-(3+I))(x-(3-I));
Plot[p[x], {x, -1, 1}, PlotRange->{-1,1}]

For 1(d), you are to use Expand to find the standard form of p(x).

Expand[p[x]]

Using variations on these commands should suffice for the rest of the lab!