Exercise
$\frac{x^2+14x-33}{x+11}$
Step-by-step Solution
1
Divide $x^2+14x-33$ by $x+11$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+11;}{\phantom{;}x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+11\overline{\smash{)}\phantom{;}x^{2}+14x\phantom{;}-33\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+11;}\underline{-x^{2}-11x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}-11x\phantom{;};}\phantom{;}3x\phantom{;}-33\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+11-;x^n;}\underline{-3x\phantom{;}-33\phantom{;}\phantom{;}}\\\phantom{;-3x\phantom{;}-33\phantom{;}\phantom{;}-;x^n;}-66\phantom{;}\phantom{;}\\\end{array}$
$x+3+\frac{-66}{x+11}$
Final answer to the exercise
$x+3+\frac{-66}{x+11}$