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Beliebt Algebra >

faktorisieren x^3+6x^2+9x+4

Lösung

faktorisieren

x^{3} + 6 x^{2} + 9 x + 4

Lösung

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

Schritte zur Lösung

x^{3} + 6 x^{2} + 9 x + 4

Wende den rationalen Nullstellentest an

= (x + 1) \frac{x ^{3} + 6 x ^{2} + 9 x + 4}{x + 1}

\frac{x ^{3} + 6 x ^{2} + 9 x + 4}{x + 1} = x^{2} + 5 x + 4

= (x + 1) (x^{2} + 5 x + 4)

Faktorisiere

x^{2} + 5 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

x^{2} - 2 x - 48 > 0

faktorisieren k^2+k-56

f a c t or k^{2} + k - 56

2 = \frac{x}{4} + 1

x - 5 = (x + 5) (x - 2)

4^{2} + 3^{2} = x^{2}