longdivision ((-8x^3+18x^2-11x+21))/((-2x+3))

Lösung

schriftliche division

\frac{( - 8 x ^{3} + 18 x ^{2} - 11 x + 21 )}{( - 2 x + 3 )}

4 x^{2} - 3 x + 1 + \frac{18}{- 2 x + 3}

Schritte zur Lösung

\frac{( - 8 x ^{3} + 18 x ^{2} - 11 x + 21 )}{( - 2 x + 3 )}

Dividiere

\frac{- 8 x ^{3} + 18 x ^{2} - 11 x + 21}{- 2 x + 3} : \frac{- 8 x ^{3} + 18 x ^{2} - 11 x + 21}{- 2 x + 3} = 4 x^{2} + \frac{6 x ^{2} - 11 x + 21}{- 2 x + 3}

= 4 x^{2} + \frac{6 x ^{2} - 11 x + 21}{- 2 x + 3}

Dividiere

\frac{6 x ^{2} - 11 x + 21}{- 2 x + 3} : \frac{6 x ^{2} - 11 x + 21}{- 2 x + 3} = - 3 x + \frac{- 2 x + 21}{- 2 x + 3}

= 4 x^{2} - 3 x + \frac{- 2 x + 21}{- 2 x + 3}

Dividiere

\frac{- 2 x + 21}{- 2 x + 3} : \frac{- 2 x + 21}{- 2 x + 3} = 1 + \frac{18}{- 2 x + 3}

= 4 x^{2} - 3 x + 1 + \frac{18}{- 2 x + 3}

q u a d r a t i c f or m u l a 2 x^{2} = 2 x - 3

s im pl i f y \frac{121}{16}

so l v e f or x, - 5 x = - 10

so l v e f or k, - 7 k - 4 k = 8 - 2 k - 8 k

s im pl i f y - 12 - 19