Esercizio
$\frac{\left(x^4+3x^3+11x^2-8x-5\right)}{\left(x+4\right)}$
Soluzione passo-passo
1
Dividere $x^4+3x^3+11x^2-8x-5$ per $x+4$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x^{3}-x^{2}+15x\phantom{;}-68\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{4}+3x^{3}+11x^{2}-8x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{4}-4x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}-4x^{3};}-x^{3}+11x^{2}-8x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}x^{3}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{3}+4x^{2}-;x^n;}\phantom{;}15x^{2}-8x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-15x^{2}-60x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-15x^{2}-60x\phantom{;}-;x^n-;x^n;}-68x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n-;x^n;}\underline{\phantom{;}68x\phantom{;}+272\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}68x\phantom{;}+272\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}267\phantom{;}\phantom{;}\\\end{array}$
$x^{3}-x^{2}+15x-68+\frac{267}{x+4}$
Risposta finale al problema
$x^{3}-x^{2}+15x-68+\frac{267}{x+4}$