Question 352738
<pre>

         (3/2)x -(1/4)
        __________________________
2x + 3 | 3x^2 +    4x + 6
      -  3x^2 +(9/2)x
       ------------------
              -(1/2)x + 6
            - -(1/2)x -(3/4)
              ----------------
                        (27/4)
</pre>
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{{{(3x^2+4x+6)/(2x+3)=
((3/2)x -(1/4))+((27/4))/(2x+3)}}}