Question 76563
<pre>
12q^2 -36 q+27

 (6q - 9)  (2q - 3)


Let us find factors of 12q^2 and 2 and test to find the middle term

     12q^2      and     27          

     12q, q            27,1           
                        9,3

      6q, 2q           27,1
                        9,3  
 
      4q, 3q           27,1
                        9,3



   (6q - 9)  (2q - 3)
     |   |     |   |
     |    -18q     |
      \   -18q    /
         _______
          -36q

Therefore the factor of 12q^2 - 36q + 27 is (6q - 9)  (2q - 3)