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Beliebt Algebra >

faktorisieren x^3-x^2-5x-3

Lösung

faktorisieren

x^{3} - x^{2} - 5 x - 3

Lösung

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

Schritte zur Lösung

x^{3} - x^{2} - 5 x - 3

Wende den rationalen Nullstellentest an

= (x + 1) \frac{x ^{3} - x ^{2} - 5 x - 3}{x + 1}

\frac{x ^{3} - x ^{2} - 5 x - 3}{x + 1} = x^{2} - 2 x - 3

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

Faktorisiere

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

= (x + 1) (x + 1) (x - 3)

Wende Exponentenregel an:

aa = a^{2}

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

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

Beliebte Beispiele

4 (a + 1) = 2 (a + 8)

faktorisieren 3t^2+16t-12

f a c t or 3 t^{2} + 16 t - 12

∣ - 2 n + 6 ∣ = 6

- 9 + x = - 5

3x+7-2x>4x-3+2x

3 x + 7 - 2 x > 4 x - 3 + 2 x