Question

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

Answer 1

C

E

F

Step-by-step 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

`f(x) = 3 {x}^(2) - 13x + 4`

This also means that:

`(3 {x}^(2) - 13x + 4) / (x - 4) = 3x - 1`

This again means that x=4 is a root of

`f(x) = 3 {x}^(2) - 13x + 4`

The correct choices are C,E and F.