Question

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

Check all that apply.

2(3 -11 10)
6 -10
____________
3 -5 0

A. (3x2 - 11x + 10) (x - 2) = (3x - 5)
B. (3x2 - 11x + 10) (x + 2) = (3x - 5)
C. (x - 2) is a factor of 3x2 - 11x + 10.
D. (x + 2) is a factor of 3x2 - 11x + 10.
E. The number -2 is a root of F(x) = 3x2 - 11x + 10.
F. The number 2 is a root of F(x) = 3x2 - 11x + 10.

Answer 1

Synthetic div is a very useful tool and one well worth learning in some depth.
I'd suggest you think of what it means (what it tells us) if the remainder is zero.
What are your thoughts on that?