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Beliebt Algebra >

faktorisieren x^3-3x^2-33x+35

Lösung

faktorisieren

x^{3} - 3 x^{2} - 33 x + 35

Lösung

(x - 1) (x + 5) (x - 7)

Schritte zur Lösung

x^{3} - 3 x^{2} - 33 x + 35

Wende den rationalen Nullstellentest an

= (x - 1) \frac{x ^{3} - 3 x ^{2} - 33 x + 35}{x - 1}

\frac{x ^{3} - 3 x ^{2} - 33 x + 35}{x - 1} = x^{2} - 2 x - 35

= (x - 1) (x^{2} - 2 x - 35)

Faktorisiere

x^{2} - 2 x - 35 : (x + 5) (x - 7)

= (x - 1) (x + 5) (x - 7)

Beliebte Beispiele

- 2 x^{2} + 2 = 0

(11a-4)(2a-4)=0

(11 a - 4) (2 a - 4) = 0

\frac{x}{8} = - 6

5 m^{2} - 500 = 625

∣ 4 x - 3 ∣ + 3 = 5