Esercizio
$\frac{2x^4-15x^3-30x^2-20x+42}{x+9}$
Soluzione passo-passo
1
Dividere $2x^4-15x^3-30x^2-20x+42$ per $x+9$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+9;}{\phantom{;}2x^{3}-33x^{2}+267x\phantom{;}-2423\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+9\overline{\smash{)}\phantom{;}2x^{4}-15x^{3}-30x^{2}-20x\phantom{;}+42\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+9;}\underline{-2x^{4}-18x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{4}-18x^{3};}-33x^{3}-30x^{2}-20x\phantom{;}+42\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+9-;x^n;}\underline{\phantom{;}33x^{3}+297x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}33x^{3}+297x^{2}-;x^n;}\phantom{;}267x^{2}-20x\phantom{;}+42\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+9-;x^n-;x^n;}\underline{-267x^{2}-2403x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-267x^{2}-2403x\phantom{;}-;x^n-;x^n;}-2423x\phantom{;}+42\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+9-;x^n-;x^n-;x^n;}\underline{\phantom{;}2423x\phantom{;}+21807\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}2423x\phantom{;}+21807\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}21849\phantom{;}\phantom{;}\\\end{array}$
$2x^{3}-33x^{2}+267x-2423+\frac{21849}{x+9}$
Risposta finale al problema
$2x^{3}-33x^{2}+267x-2423+\frac{21849}{x+9}$