Exercise
$\frac{4x^2-3x-2}{x+1}$
Step-by-step Solution
1
Divide $4x^2-3x-2$ by $x+1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}4x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}4x^{2}-3x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-4x^{2}-4x\phantom{;}\phantom{-;x^n}}\\\phantom{-4x^{2}-4x\phantom{;};}-7x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}7x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}7x\phantom{;}+7\phantom{;}\phantom{;}-;x^n;}\phantom{;}5\phantom{;}\phantom{;}\\\end{array}$
Final answer to the exercise
$4x-7+\frac{5}{x+1}$