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Beliebt Algebra >

faktorisieren x^4-8x^3+7x^2+28x+12

Lösung

faktorisieren

x^{4} - 8 x^{3} + 7 x^{2} + 28 x + 12

Lösung

(x + 1) (x - 6) (x^{2} - 3 x - 2)

Schritte zur Lösung

x^{4} - 8 x^{3} + 7 x^{2} + 28 x + 12

Wende den rationalen Nullstellentest an

= (x + 1) \frac{x ^{4} - 8 x ^{3} + 7 x ^{2} + 28 x + 12}{x + 1}

\frac{x ^{4} - 8 x ^{3} + 7 x ^{2} + 28 x + 12}{x + 1} = x^{3} - 9 x^{2} + 16 x + 12

= (x + 1) (x^{3} - 9 x^{2} + 16 x + 12)

Faktorisiere

x^{3} - 9 x^{2} + 16 x + 12 : (x - 6) (x^{2} - 3 x - 2)

= (x + 1) (x - 6) (x^{2} - 3 x - 2)

Beliebte Beispiele

3= 1/6 (10x-18)

3 = \frac{1}{6} (10 x - 18)

3 x^{2} = 60

v^{2} - 4 v = 0

9(3-2x)+2(5x+1)=0

9 (3 - 2 x) + 2 (5 x + 1) = 0

3 ∣ 2 - x ∣ = - 6