Question 73806
<pre>
x^2 +5x +10 divided by x + 2 

We can use long method for this problem


                     x + 3
             ______________
        x+2 /x^2 + 5x + 10 
           -(x^2 + 2x)          Change the signs. becomes -x^2 - 2x
           ___________
                   3x + 10      Bring down 10
                 -(3x + 6 )    Change the sign becomes, -3x - 6
                ___________
                        4     Remainder

                                  4
x^2 +5x +10 / x + 2 = x + 3 + _______
                               x + 2
     



checking :
   (x + 2)(x + 3) + 4
   x^2 + 5x + 6 + 4
   x^2 + 5x + 10