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Beliebt Algebra >

faktorisieren x^3-9x^2+20x-12

Lösung

faktorisieren

x^{3} - 9 x^{2} + 20 x - 12

Lösung

(x - 1) (x - 2) (x - 6)

Schritte zur Lösung

x^{3} - 9 x^{2} + 20 x - 12

Wende den rationalen Nullstellentest an

= (x - 1) \frac{x ^{3} - 9 x ^{2} + 20 x - 12}{x - 1}

\frac{x ^{3} - 9 x ^{2} + 20 x - 12}{x - 1} = x^{2} - 8 x + 12

= (x - 1) (x^{2} - 8 x + 12)

Faktorisiere

x^{2} - 8 x + 12 : (x - 2) (x - 6)

= (x - 1) (x - 2) (x - 6)

Beliebte Beispiele

4/5 > 2/3-2/7 x

\frac{4}{5} > \frac{2}{3} - \frac{2}{7} x

- 8 \leq 2 x - 4 < 4

- 7 + 4 x = 37

x = 2 x (1 - x)

(x - 3) (2 x + 1) = 0