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Beliebt Algebra >

faktorisieren x^4+17x^3+99x^2+223x+140

Lösung

faktorisieren

x^{4} + 17 x^{3} + 99 x^{2} + 223 x + 140

Lösung

(x + 1) (x + 4) (x + 5) (x + 7)

Schritte zur Lösung

x^{4} + 17 x^{3} + 99 x^{2} + 223 x + 140

Wende den rationalen Nullstellentest an

= (x + 1) \frac{x ^{4} + 17 x ^{3} + 99 x ^{2} + 223 x + 140}{x + 1}

\frac{x ^{4} + 17 x ^{3} + 99 x ^{2} + 223 x + 140}{x + 1} = x^{3} + 16 x^{2} + 83 x + 140

= (x + 1) (x^{3} + 16 x^{2} + 83 x + 140)

Faktorisiere

x^{3} + 16 x^{2} + 83 x + 140 : (x + 4) (x + 5) (x + 7)

= (x + 1) (x + 4) (x + 5) (x + 7)

Beliebte Beispiele

2(2X+3)+8=2X+X+20

2 (2 X + 3) + 8 = 2 X + X + 20

x + \frac{1}{3} = 1054

a=(log_{125}(5))^{log_{5}(125)}

a = (lo g_{125} (5))^{l o g_{5} (125)}

2 - 4 = 0

faktorisieren x^3-12x^2+27x

f a c t or x^{3} - 12 x^{2} + 27 x