faktorisieren x^4-2x^3+2x-1

Lösung

faktorisieren

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

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

Schritte zur Lösung

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

Wende den rationalen Nullstellentest an

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

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

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

Faktorisiere

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

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

Wende Exponentenregel an:

aaa = a^{3}

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

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

s im pl i f y lo g_{10} (a) r i t mi c a

f a c t or 4 x^{2} (2 x - 5)^{2} + 8 x^{2} (2 x - 5)

s im pl i f y \frac{6 + a ^{2} + 5 a}{a + 2}

s im pl i f y (1 - 5)^{2}

s im pl i f y 232 + 1018