Respuesta :

Answer:

(x-6)(3x+2)

solution,

[tex]3 {x}^{2} - 16x - 12 \\ = 3 {x}^{2} - (18 - 2)x - 12 \\ = 3 {x}^{2} - 18x + 2x - 12 \\ = 3x(x - 6) + 2(x - 6) \\ = (x - 6)(3x + 2)[/tex]

Hope this helps..

Good luck on your assignment..

Answer: (x-6)(3x+2)

Step-by-step explanation:

[tex]3x^{2} -16x -12[/tex]        Find two numbers that multiply to -36 and add up to get -16

                           -18 and 2 works out.

[tex]3x^{2}[/tex] - 18x +2x - 12     Now group it  

(3[tex]x^{2}[/tex] -18x) ( 2x - 12)   factor it out

3x( x -6)  2(x-6)       factor out x-6

(x-6)(3x+2)