Question 701856
<pre>
(n³ + 9n² - 7n + 23)÷(n + 10)

       <u>         n²  -   n +  3</u>
n + 10)  n³ +  9n²  -  7n + 23
       <u>-(n³ + 10n²)</u>
               -n²  -  7n
             <u>-(-n²  - 10n)</u>
                       3n + 23
                     <u>-(3n + 30)</u>
                            -7

Answer:  n² - n + 3 + {{{(-7)/(n+10)}}}

or

         n² - n + 3 - {{{7/(n+10)}}}

or you can do it by synthetic division:

-10|1   9  -7   23
   |<u>  -10  10  -30</u>
    1  -1   3   -7 

Same answer.

Edwin</pre>