[size=200][color=#1155Cc]The fundamental theorem of algebra - a visual proof [/color][/size][br][br][url=http://weitz.de/fund/]http://weitz.de/fund/[/url][math]\nearrow[/math][br][url=https://youtu.be/IQ4vHoJSLxk]Der Fundamentalsatz der Algebra (anschaulicher Beweis)[/url][icon]/images/ggb/toolbar/mode_viewinfrontof.png[/icon][math]\nearrow[/math][br][br]Do not set a[sub]i[/sub]=0, use checkboxes to switch on/off using coefficient a[sub]i[/sub]. [br]The function f(x) CAS (1) has probably to be set manually if cell do not actualize - mark cell + Num Eval.[br][br]Hints:[br]a[sub]i[/sub] complex coefficient of p(z) - input of values[br] [math]a_i= r+c \;i =\left(\sqrt{r^2+c^2 };arctan(\frac{c}{r}\right)[/math] polarcoordinates (m[sub]i[/sub]; ω[sub]I[/sub])[br]z=(a ; φ) polarcoordinates - sliders on top - (0<=a<=10)[br]Z[sub]i[/sub] = a[sub]i[/sub] z[sup]i[/sup] polynom summand in polarcoordinates =( m[sub]i[/sub] a[sup]i[/sup] ; ω[sub]i[/sub] + i φ) -> vectors v[sub]i[/sub] [br]c(t) parametric curve of polynom p(z) - graph p(z) [br]P[sub]z[/sub] = p(z)[br] [br]App - Darstellung der 3. Nullstelle p(z): [math]\sum_{i=0}^{5}Z_{i}=0[/math]:
[math]f(z) \, := \, z^{5} \; \left(\frac{i}{2} \; \pi + 4 \right) + 5 \; z^{4} + \left(2 + 3 \; i \right) \; z^{3} + 2 \; z^{2} + \left(-7 - 2 \; i \right) \; z + 6 - 2 \; i[/math][br]The summands of the polynomial build a vector chain (blue). A root can be found if the vector chain of the coefficients is closed - returning to the origin.[br][br][list=1][*]increase modulus (slider a) so far to have a complete free circular disc around the point of origin Z[br][img]data:image/png;base64,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[/img][br][/*][*]decrease modulus to intersect graph p(z) and origin Z=(0,0) - close vector chain[br][img]data:image/png;base64,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[/img][/*][*]zoom graph to position P[sub]z[/sub] (slider φ) as close as possible to the origin[/*][*](a ; φ ) root in polarcoordinates ==> cartesian 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[/img][/*][*]check calculated roots in L[sub]cpx[/sub] - next intersection[/*][/list][br][math]a\longrightarrow0\Rightarrow p\left(z\right)\longrightarrow Z_0[/math] 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[/img]
Polynom surface and root points X (set property style: Level of Detail [Quality] )
f(x):=4x⁵ + 5x⁴ + 2x³ + 2x² - 7x + 6