Question

PLEASE HELP!!! According to the synthetic division below, which of the following statements are true?

Answer 1

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 2

Options C, D and F are correct.

Explanation:

The factors of
`5x^(2)-16x+12` are 2 and
`(6)/(5)`

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) =
`5x^(2)-16x+12`

Putting 2 in place of x we get
`5(2)^(2) -16(2)+12`

5*4 -32 +12=0

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