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Beliebt Algebra >

faktorisieren x^3+2x^2-7x+4

Lösung

faktorisieren

x^{3} + 2 x^{2} - 7 x + 4

Lösung

(x - 1)^{2} (x + 4)

Schritte zur Lösung

x^{3} + 2 x^{2} - 7 x + 4

Wende den rationalen Nullstellentest an

= (x - 1) \frac{x ^{3} + 2 x ^{2} - 7 x + 4}{x - 1}

\frac{x ^{3} + 2 x ^{2} - 7 x + 4}{x - 1} = x^{2} + 3 x - 4

= (x - 1) (x^{2} + 3 x - 4)

Faktorisiere

x^{2} + 3 x - 4 : (x - 1) (x + 4)

= (x - 1) (x - 1) (x + 4)

Wende Exponentenregel an:

aa = a^{2}

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

= (x - 1)^{2} (x + 4)

Beliebte Beispiele

16 x^{2} - 20 x + 25 = 0

13 + 4 a + 2 a = 3 a + 1

- 3 (n - 4) = 5 - 2 n

4 x^{2} - 100 = 0

∣ x ∣ = 14