p(x)=t(x-a)(x-b)^4(x-c)^3(x-d)

p(x)=t(x+1)x^4(x-2)^3(x-3)

Grad?
Verlauf?

a: -1
b: 0
c = 1.9999999999999996
A: (a, 0)
B: (b, 0)
C: (c, 0)
d: 3
D: (d, 0)
f = OrthogonalLine(A, xAxis)
g = OrthogonalLine(B, xAxis)
h = OrthogonalLine(C, xAxis)
k: x = 3
E = (3.3858687330985475, -1.0079402485031428)
F = (5.330118388609126, -0.9817967641049117)
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t' = 1 (slider from 0 to 2, step 0.1)
Text3: "t=" + t' + ""
Strich10: PolyLine[(-1.6144E0,-1.5851E0), (-1.5635E0,-1.4541E0), (-1.5061E0,-1.3341E0), (-1.4183E0,-1.1772E0), (-1.3744E0,-1.0658E0), (-1.3319E0,-9.7320E-1), (-1.2912E0,-8.8064E-1), (-1.2598E0,-7.6924E-1), (-1.2127E0,-6.6883E-1), (-1.1468E0,-4.4133E-1), (-1.0943E0,-2.9464E-1), (-1.0590E0,-1.6677E-1), (-1.0025E0,-4.8314E-2), (-9.3346E-1,8.1910E-2), (-8.3932E-1,2.2625E-1), (-7.2792E-1,3.0078E-1), (-6.7929E-1,3.1647E-1), (NaN,NaN), (-6.1653E-1,3.1019E-1), (-4.9886E-1,2.2704E-1), (-3.7021E-1,1.2035E-1), (-2.2743E-1,7.5633E-2), (-1.1996E-1,1.8931E-3), (-1.7196E-2,-4.6035E-4), (9.9690E-2,5.0310E-3), (2.0245E-1,1.5229E-2), (3.2876E-1,4.8177E-2), (3.6876E-1,7.7987E-2), (NaN,NaN), (3.8759E-1,7.1711E-2), (4.8329E-1,1.3290E-1), (5.9861E-1,2.1683E-1), (7.3747E-1,3.4313E-1), (8.4415E-1,4.1845E-1), (9.7986E-1,5.1101E-1), (1.0873E0,5.4239E-1), (1.1690E0,5.7064E-1), (1.3125E0,5.3612E-1), (1.4286E0,4.3963E-1), (1.5376E0,3.0156E-1), (1.6051E0,2.1448E-1), (1.6459E0,1.1093E-1), (1.6741E0,7.7987E-2), (NaN,NaN), (1.7557E0,1.5229E-2), (1.9056E0,8.1689E-3), (2.0766E0,-1.8504E-2), (2.1590E0,-1.2598E-1), (2.1825E0,-2.3580E-1), (2.2310E0,-3.5504E-1), (2.3573E0,-5.0488E-1), (2.4524E0,-5.7156E-1), (2.5495E0,-5.6528E-1), (2.6719E0,-5.0566E-1), (2.7771E0,-3.5504E-1), (2.8571E0,-2.0835E-1), (2.9379E0,-8.3615E-2), (2.9905E0,1.9936E-2), (3.0046E0,5.2884E-2), (NaN,NaN), (3.0297E0,1.1564E-1), (3.0924E0,1.8467E-1), (3.0987E0,2.4116E-1), (3.1113E0,2.9136E-1), (3.1301E0,3.6667E-1), (3.1678E0,4.1060E-1), (3.1866E0,4.4198E-1), (3.1991E0,5.2357E-1), (3.1678E0,6.6163E-1), (NaN,NaN), true]
t = 0.1 (slider from 0 to 0.8, step 0.05)
p(x) = ((((t' * (x - a)) * (x - b)^(4)) * (x - c)^(3)) * (x - d))
Strich4: PolyLine[(-5.3153E-1,1.9215E0), (-5.3153E-1,1.9215E0), (NaN,NaN), true]
pe(x) = ((((t * (x - a)) * (x - b)^(4)) * (x - c)^(3)) * (x - d))