Esercizio
$\frac{12x^4-36x^3-29x^2+38x+24}{2x^2-5x-6}$
Soluzione passo-passo
1
Dividere $12x^4-36x^3-29x^2+38x+24$ per $2x^2-5x-6$
$\begin{array}{l}\phantom{\phantom{;}2x^{2}-5x\phantom{;}-6;}{\phantom{;}6x^{2}-3x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;}2x^{2}-5x\phantom{;}-6\overline{\smash{)}\phantom{;}12x^{4}-36x^{3}-29x^{2}+38x\phantom{;}+24\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x^{2}-5x\phantom{;}-6;}\underline{-12x^{4}+30x^{3}+36x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-12x^{4}+30x^{3}+36x^{2};}-6x^{3}+7x^{2}+38x\phantom{;}+24\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x^{2}-5x\phantom{;}-6-;x^n;}\underline{\phantom{;}6x^{3}-15x^{2}-18x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{3}-15x^{2}-18x\phantom{;}-;x^n;}-8x^{2}+20x\phantom{;}+24\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x^{2}-5x\phantom{;}-6-;x^n-;x^n;}\underline{\phantom{;}8x^{2}-20x\phantom{;}-24\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}8x^{2}-20x\phantom{;}-24\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$6x^{2}-3x-4$