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Beliebt Algebra >

faktorisieren x^5-2x^3+5x^2-8x-20

Lösung

faktorisieren

x^{5} - 2 x^{3} + 5 x^{2} - 8 x - 20

Lösung

(x - 2) (x + 2) (x^{3} + 2 x + 5)

Schritte zur Lösung

x^{5} - 2 x^{3} + 5 x^{2} - 8 x - 20

Wende den rationalen Nullstellentest an

= (x - 2) \frac{x ^{5} - 2 x ^{3} + 5 x ^{2} - 8 x - 20}{x - 2}

\frac{x ^{5} - 2 x ^{3} + 5 x ^{2} - 8 x - 20}{x - 2} = x^{4} + 2 x^{3} + 2 x^{2} + 9 x + 10

= (x - 2) (x^{4} + 2 x^{3} + 2 x^{2} + 9 x + 10)

Faktorisiere

x^{4} + 2 x^{3} + 2 x^{2} + 9 x + 10 : (x + 2) (x^{3} + 2 x + 5)

= (x - 2) (x + 2) (x^{3} + 2 x + 5)

Beliebte Beispiele

z - 17 = 16

- 330 < - 30 x

7 x^{3} = 14

∣ x - 1 ∣ = 35

faktorisieren 9n^2-4

f a c t or 9 n^{2} - 4