Write a Scilab program to create the following polynomial:
p(s) = s^2(s^2 - 1)(s^2 + 2)
a. Using the Scilab software, plot the function versus s from -1.5 to 1.5 with 1000 samples.
b. Find the x-intercepts of the polynomial p(s) and display them on the console.
c. Plot the x-intercepts on the same graph as part a, with red x.
d. Find the minimum, maximum, variance, and standard deviation of the polynomial p(s) for the given range and display the following messages:
"The minimum of p(s) with 4-digit decimal precision is "
"The maximum of p(s) with 4-digit decimal precision is "
"The variance of p(s) with 4-digit decimal precision is "
"The standard deviation of p(s) with 4-digit decimal precision is "
e. Add a title, x-label, y-label, and legend. Linewidth = 5.