Question

Is it possible to factor `y=3x^2-11x+6`? If so, what are the factors?

Answer 1

`(x-3)(3x-2)`

Explanation:

`"using the a-c method to factor the quadratic"`

`"the factors of the product "3xx6=18`

`"which sum to " - 11" are " - 9 " and " - 2`

`"split the middle term using these factors"`

`3x^2-9x-2x+6larrcolor(blue)"factor by grouping"`

`=color(red)(3x)(x-3)color(red)(-2)(x-3)`

`"take out the "color(blue)"common factor "(x-3)`

`=(x-3)(color(red)(3x-2))`

`3x^2-11x+6=(x-3)(3x-2)`