Exercise
$\frac { 3 x ^ { 2 } + 5 x + 3 } { x + 2 }$
Step-by-step Solution
1
Divide $3x^2+5x+3$ by $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}3x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}3x^{2}+5x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-3x^{2}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{-3x^{2}-6x\phantom{;};}-x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}x\phantom{;}+2\phantom{;}\phantom{;}-;x^n;}\phantom{;}5\phantom{;}\phantom{;}\\\end{array}$
Final answer to the exercise
$3x-1+\frac{5}{x+2}$