Question 230358
<pre> 
    
     --------------------------
2x+5 |2x^3 + 7x^2 + 7x + 5


</pre>



<pre> 
              x^2
     --------------------------
2x+5 |2x^3 + 7x^2 + 7x + 5
      2x^3 + 5x^2
      ------------
             2x^2 + 7x

</pre>



<pre> 
              x^2 +  x
     --------------------------
2x+5 |2x^3 + 7x^2 + 7x + 5
      2x^3 + 5x^2
      ------------
             2x^2 + 7x
             2x^2 + 5x
            ------------
                    2x + 5

</pre>



<pre> 
              x^2 +  x + 1
     --------------------------
2x+5 |2x^3 + 7x^2 + 7x + 5
      2x^3 + 5x^2
      ------------
             2x^2 + 7x
             2x^2 + 5x
            ------------
                    2x + 5
                    2x + 5
                   --------
                         0

</pre>


Answer: *[Tex \LARGE \frac{2x^3 + 7x^2 + 7x + 5}{2x+5}=x^2 +  x + 1]