In factores resolutio
Multi tool use
In factores resolutio[1] seu factorizatio[2] cuiusque numeri naturalis est decompositio in numeros naturales, nuncupatos factores, qui gignunt talem numerum inter sese multiplicando. Exempli gratia in aequatione
a⋅b=c{displaystyle acdot b=c}
a factor primus et b factor secundus est. Theorema fundamentale arithmeticae dicit posse resolvere numerum quemquam, in factores primos via unica.
De polynomiis in factores resolvendis |
Polynomium omne potest in factores resolvi (super corpus numerorum complexorum). In casu polynomii unius variabilis, pergimus in factores lineares; hoc est theorema fundamentale algebrae. Exempli gratia:
x3+4x2−52x+80=(x+10)⋅(x−2)⋅(x−4){displaystyle x^{3}+4x^{2}-52x+80=(x+10)cdot (x-2)cdot (x-4)}
Notae |
↑ Carolus Fridericus Gauss, Disquisitiones arithmeticae, capitulus 16 et passim.
↑ Henri Cohen et al., editores, Handbook of Elliptic and Hyperelliptic Curve Cryptography, in bibliographia, p. 743.
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Haec stipula ad mathematicam spectat. Amplifica, si potes!
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