longdivision ((x^3+3x^2+x-4))/((x-1))

Lösung

schriftliche division

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

x^{2} + 4 x + 5 + \frac{1}{x - 1}

Schritte zur Lösung

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

Dividiere

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

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

Dividiere

\frac{4 x ^{2} + x - 4}{x - 1} : \frac{4 x ^{2} + x - 4}{x - 1} = 4 x + \frac{5 x - 4}{x - 1}

= x^{2} + 4 x + \frac{5 x - 4}{x - 1}

Dividiere

\frac{5 x - 4}{x - 1} : \frac{5 x - 4}{x - 1} = 5 + \frac{1}{x - 1}

= x^{2} + 4 x + 5 + \frac{1}{x - 1}

co m pl e t es q u a re x^{2} - 6 x = - 5

s im pl i f y 19.6

s im pl i f y \frac{7}{2}

1200/150

- 1 \frac{3}{5}