Vielfachheit der Nullstelle

x_1=-3

x_2=1

x_3=4

n: 2
a = 0.1 (slider from -1 to 1, step 0.01)
k_1 = 1 (slider from 1 to 3, step 1)
k_2 = 1 (slider from 1 to 3, step 1)
k_3 = 1 (slider from 1 to 3, step 1)
f(x) = (((a * (x + 3)^(k_1)) * (x - 1)^(k_2)) * (x - 4)^(k_3))
Text5: "f(x)=\textcolor{red}{" + (LaTeX[a]) + "}\cdot\textcolor{green}{(x+3)^{" + (LaTeX[k_1]) + "}}\cdot\textcolor{blue}{(x-1)^{" + (LaTeX[k_2]) + "}}\cdot\textcolor{brown}{(x-4)^{" + (LaTeX[k_3]) + "}}	"
N_1: (-3, 0)
N_2: (1, 0)
N_3 = (4, 0)