ANSWER
C
E
F
EXPLANATION
The result of the synthetic division is :
3 -1 0
The last number is the remainder which is 0
The first two numbers are the coefficients of the quotient.
Therefore the quotient is 3x -1
Since the remainder is 0, x-4 is a factor of
[tex]f(x) = 3 {x}^{2} - 13x + 4[/tex]
This also means that:
[tex](3 {x}^{2} - 13x + 4) \div (x - 4) = 3x - 1[/tex]
This again means that x=4 is a root of
[tex]f(x) = 3 {x}^{2} - 13x + 4[/tex]
The correct choices are C,E and F.
