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)

 

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