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Beliebt Algebra >

faktorisieren x^4-x^3-13x^2+25x-12

Lösung

faktorisieren

x^{4} - x^{3} - 13 x^{2} + 25 x - 12

Lösung

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

Schritte zur Lösung

x^{4} - x^{3} - 13 x^{2} + 25 x - 12

Wende den rationalen Nullstellentest an

= (x - 1) \frac{x ^{4} - x ^{3} - 13 x ^{2} + 25 x - 12}{x - 1}

\frac{x ^{4} - x ^{3} - 13 x ^{2} + 25 x - 12}{x - 1} = x^{3} - 13 x + 12

= (x - 1) (x^{3} - 13 x + 12)

Faktorisiere

x^{3} - 13 x + 12 : (x - 1) (x - 3) (x + 4)

= (x - 1) (x - 1) (x - 3) (x + 4)

Wende Exponentenregel an:

aa = a^{2}

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

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

Beliebte Beispiele

\frac{x + 6}{x - 1} > 0

faktorisieren x^4+x^2-72

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

vereinfachen 3sqrt(-49)

s im pl i f y 3 - 49

\frac{2}{3} = \frac{x}{9}

(x + 7)^{2} = 0