faktorisieren x^3-2x^2+1

Lösung

faktorisieren

x^{3} - 2 x^{2} + 1

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

Schritte zur Lösung

x^{3} - 2 x^{2} + 1

Wende den rationalen Nullstellentest an

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

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

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

- 4 > 4

1 - x^{2} > x - 1

∣ 5 + 2 x ∣ > 0

x^{2} - x + 8 = 0

x^{\frac{5}{2}} - 81 x^{\frac{1}{2}}