Final answer to the problem
$x+3+\frac{-5}{x+2}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Divide $x^2+5x+1$ by $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}x^{2}+5x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}-2x\phantom{;};}\phantom{;}3x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{-3x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;-3x\phantom{;}-6\phantom{;}\phantom{;}-;x^n;}-5\phantom{;}\phantom{;}\\\end{array}$
2
Resulting polynomial
$x+3+\frac{-5}{x+2}$
Final answer to the problem
$x+3+\frac{-5}{x+2}$
