Respuesta :

The answer is C, D, and F. We know it is C because x-2 you would put a positive 2 and that is what is done. We know it is D because if you look at the graph that's where it would touch. We know it is F because the last number below the line is 0.

Answer:

Options C, D and F are correct.

Step-by-step explanation:

The factors of [tex]5x^{2}-16x+12[/tex] are 2 and [tex]\frac{6}{5}[/tex]

So, option C is correct. (x-2) is a factor or x=2

Option D is also correct. 2 is the root of f(x) = [tex]5x^{2}-16x+12[/tex]

Putting 2 in place of x we get [tex]5(2)^{2} -16(2)+12[/tex]

5*4 -32 +12=0

Option F is correct because the remainder is zero in last line.(5x-6+0)