faktorisieren x^{10}+9x^5+8

Lösung

faktorisieren

x^{10} + 9 x^{5} + 8

(x + 1) (x^{4} - x^{3} + x^{2} - x + 1) (x^{5} + 8)

Schritte zur Lösung

x^{10} + 9 x^{5} + 8

Wende den rationalen Nullstellentest an

= (x + 1) \frac{x ^{10} + 9 x ^{5} + 8}{x + 1}

\frac{x ^{10} + 9 x ^{5} + 8}{x + 1} = x^{9} - x^{8} + x^{7} - x^{6} + x^{5} + 8 x^{4} - 8 x^{3} + 8 x^{2} - 8 x + 8

= (x + 1) (x^{9} - x^{8} + x^{7} - x^{6} + x^{5} + 8 x^{4} - 8 x^{3} + 8 x^{2} - 8 x + 8)

Faktorisiere

x^{9} - x^{8} + x^{7} - x^{6} + x^{5} + 8 x^{4} - 8 x^{3} + 8 x^{2} - 8 x + 8 : (x^{4} - x^{3} + x^{2} - x + 1) (x^{5} + 8)

= (x + 1) (x^{4} - x^{3} + x^{2} - x + 1) (x^{5} + 8)

f a c t or x^{2} + 3 x - 28 x^{2} + 3 x - 28

f a c t or [(4 a + b) - 6]^{2}

f a c t or 2 x a + 2 x b - a y - b y

f (x) = e^{(3 x)} sin (5 x)

f a c t or arccos (8 x - 4)