# How do you factor #3x^2 - 19x +6 = 0 #?

##### 1 Answer

Oct 28, 2016

#### Explanation:

#3x^2-19x+6=0#

Use an AC Method:

Find a pair of factors of

The pair

Use this pair to split the middle term and factor by grouping:

#3x^2-19x+6 = 3x^2-18x-x+6#

#color(white)(3x^2-19x+6) = (3x^2-18x)-(x-6)#

#color(white)(3x^2-19x+6) = 3x(x-6)-1(x-6)#

#color(white)(3x^2-19x+6) = (3x-1)(x-6)#