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Beliebt Algebra >

faktorisieren x^3-5x^2-18x+72

Lösung

faktorisieren

x^{3} - 5 x^{2} - 18 x + 72

Lösung

(x - 3) (x + 4) (x - 6)

Schritte zur Lösung

x^{3} - 5 x^{2} - 18 x + 72

Wende den rationalen Nullstellentest an

= (x - 3) \frac{x ^{3} - 5 x ^{2} - 18 x + 72}{x - 3}

\frac{x ^{3} - 5 x ^{2} - 18 x + 72}{x - 3} = x^{2} - 2 x - 24

= (x - 3) (x^{2} - 2 x - 24)

Faktorisiere

x^{2} - 2 x - 24 : (x + 4) (x - 6)

= (x - 3) (x + 4) (x - 6)

Beliebte Beispiele

7 x^{2} - 14 = 0

3(3u+2)+5=2(2u-2)

3 (3 u + 2) + 5 = 2 (2 u - 2)

(4x-3)/3 =(2x-1)/2

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

faktorisieren 15x^2-13x+2

f a c t or 15 x^{2} - 13 x + 2

faktorisieren x^3-x^2-8x+12

f a c t or x^{3} - x^{2} - 8 x + 12