Exercício
$\frac{12x^{3}+28x^{2}+11x-6}{2x+3}$
Solução explicada passo a passo
1
Dividimos polinômios, $12x^3+28x^2+11x-6$ por $2x+3$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+3;}{\phantom{;}6x^{2}+5x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+3\overline{\smash{)}\phantom{;}12x^{3}+28x^{2}+11x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+3;}\underline{-12x^{3}-18x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-12x^{3}-18x^{2};}\phantom{;}10x^{2}+11x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n;}\underline{-10x^{2}-15x\phantom{;}\phantom{-;x^n}}\\\phantom{;-10x^{2}-15x\phantom{;}-;x^n;}-4x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n-;x^n;}\underline{\phantom{;}4x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}4x\phantom{;}+6\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
2
Da divisão, obtemos o seguinte polinômio como resultado
$6x^{2}+5x-2$
Resposta final para o problema
$6x^{2}+5x-2$