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Beliebt Algebra >

faktorisieren 5x^4-46x^3+84x^2-50x+7

Lösung

faktorisieren

5 x^{4} - 46 x^{3} + 84 x^{2} - 50 x + 7

Lösung

(x - 1)^{2} (5 x - 1) (x - 7)

Schritte zur Lösung

5 x^{4} - 46 x^{3} + 84 x^{2} - 50 x + 7

Wende den rationalen Nullstellentest an

= (x - 1) \frac{5 x ^{4} - 46 x ^{3} + 84 x ^{2} - 50 x + 7}{x - 1}

\frac{5 x ^{4} - 46 x ^{3} + 84 x ^{2} - 50 x + 7}{x - 1} = 5 x^{3} - 41 x^{2} + 43 x - 7

= (x - 1) (5 x^{3} - 41 x^{2} + 43 x - 7)

Faktorisiere

5 x^{3} - 41 x^{2} + 43 x - 7 : (x - 1) (5 x - 1) (x - 7)

= (x - 1) (x - 1) (5 x - 1) (x - 7)

Wende Exponentenregel an:

aa = a^{2}

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

= (x - 1)^{2} (5 x - 1) (x - 7)

Beliebte Beispiele

∣ x + 4 ∣ > - 12

3 - 2 y \geq 7

x - 8 = 3 x + 8

3 x - 15 > - 21

vereinfachen 7/9-1/3

s im pl i f y \frac{7}{9} - \frac{1}{3}