How do you factor #12x^2-39x+9#?

2 Answers
Aug 7, 2017

We can play with factors of 12 (1x12, 2x6, 3,4) and factors of 9 (1x9, 3x3) to combine and factor the expression as:

#(12x - 3)(x - 3)#

Aug 7, 2017

#3(4x-1)(x-3)#

Explanation:

#12x^2 -39x+9#

Take out a common factor of #3# first

#3(4x^2-13x+3)#

Find factors of #4 and 3# whose products ADD to 13.

#(4xx3)+(1xx1) =13#

#3(4x-1)(x-3)#