faktorisieren x^4+x^3-2

Lösung

faktorisieren

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

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

Schritte zur Lösung

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

Wende den rationalen Nullstellentest an

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

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

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

e x p an d (x + x^{2} + x^{3})^{3}

s im pl i f y \frac{v}{( x ^{2} \cdot y ^{3} )} + \frac{u}{x} - w

f a c t or 12 x^{4} + 24 x^{3} y - 36 x^{2} y^{2}

s im pl i f y (3 a + 4 a)^{2} + (3 a - 4 a)^{2}

f a c t or x^{4} - 4 x^{3} - 21 x^{2}