faktorisieren x^3+3x^2-11x-21

Lösung

faktorisieren

x^{3} + 3 x^{2} - 11 x - 21

(x - 3) (x^{2} + 6 x + 7)

Schritte zur Lösung

x^{3} + 3 x^{2} - 11 x - 21

Wende den rationalen Nullstellentest an

= (x - 3) \frac{x ^{3} + 3 x ^{2} - 11 x - 21}{x - 3}

\frac{x ^{3} + 3 x ^{2} - 11 x - 21}{x - 3} = x^{2} + 6 x + 7

= (x - 3) (x^{2} + 6 x + 7)

f a c t or 4 x^{2} + 12 x - 72

5 = 10 x

2 x^{2} - 4 x - 96 = 0

∣ x + 3 ∣ > 2

3 - 2 x > 5