faktorisieren x^4-3x^3-6x^2+28x-24

Lösung

faktorisieren

x^{4} - 3 x^{3} - 6 x^{2} + 28 x - 24

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

Schritte zur Lösung

x^{4} - 3 x^{3} - 6 x^{2} + 28 x - 24

Wende den rationalen Nullstellentest an

= (x - 2) \frac{x ^{4} - 3 x ^{3} - 6 x ^{2} + 28 x - 24}{x - 2}

\frac{x ^{4} - 3 x ^{3} - 6 x ^{2} + 28 x - 24}{x - 2} = x^{3} - x^{2} - 8 x + 12

= (x - 2) (x^{3} - x^{2} - 8 x + 12)

Faktorisiere

x^{3} - x^{2} - 8 x + 12 : (x - 2) (x - 2) (x + 3)

= (x - 2) (x - 2) (x - 2) (x + 3)

Wende Exponentenregel an:

aaa = a^{3}

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

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

s im pl i f y lo g_{\frac{1}{3}} (\frac{1}{81})

f a c t or 1.5 u^{2} v^{4} - 2.5 u^{3} v^{5} + 0.5 u^{4} v^{2}

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

s im pl i f y 212 - 375 + 27

f a c t or 32 x^{9} y^{3} - 8 x^{7} y^{5}