#1) (p205 #11) analyze a polynomial with these roots: {-1,1,3}
f(x)=(x+1)*(x-1)*(x-3)
show(f(x))
show(expand(f(x)))
show(plot(f(x),-2,4))
show(max([f(x) for x in srange(-1,1,.001)]))
show(min([f(x) for x in srange(1,3,.001)]))
solve([(x+1)*(x-1)*(x-3)==2],x)