Polynomial zeros with even multiplicity
Author: mariano

Drag the x-intercepts such that several overlap in one location, and observe the behavior of the function.

do you see a pattern?

a=

A = Point(xAxis)
B = Point(xAxis)
C = Point(xAxis)
D = Point(xAxis)
a = 1 (slider from -3 to 3, step 0.1)
E = Point(xAxis)
f(x) = (x - x(A)) * (x - x(B)) * (x - x(C)) * (x - x(D)) * (x - x(E))
g(x) = a * f(x)
inputBox1 = Textfield(a)
text1: "f(x)=" + (LaTeX[a]) + "" + (LaTeX[f]) + ""