faktorisieren x^3-6x^2-24x+64

Lösung

faktorisieren

x^{3} - 6 x^{2} - 24 x + 64

(x - 2) (x + 4) (x - 8)

Schritte zur Lösung

x^{3} - 6 x^{2} - 24 x + 64

Wende den rationalen Nullstellentest an

= (x - 2) \frac{x ^{3} - 6 x ^{2} - 24 x + 64}{x - 2}

\frac{x ^{3} - 6 x ^{2} - 24 x + 64}{x - 2} = x^{2} - 4 x - 32

= (x - 2) (x^{2} - 4 x - 32)

Faktorisiere

x^{2} - 4 x - 32 : (x + 4) (x - 8)

= (x - 2) (x + 4) (x - 8)

f a c t or 10 x^{3} - 26 x^{2} + 22 x - 6

e x p an d (2 x - 2) (x + 3)

s im pl i f y 11 (6 i - 9)

e x p an d (2 x - 3 y + z) a + (3 y - 2 x - z) b

s im pl i f y \frac{x ^{2} + 11 x + 30}{x ^{2} - 25}