Write a python program that creates the following polynomial:

p$($x$)=$x$^2($x$^2-1)($x$^2-2)$

Using the python software, plot the function of x from $-2$ to $+2$ with $1000$ samples.

Find the x$-$intercepts of the polynomial p$($x$)$ and display them on the console.

Plot the x$-$intercepts on the same graph as part a$.$ with red $$x$.$

Find the minimum, maximum, variance and standard deviation of the polynomial p$($x$)$ for the given range and display the following messages: