I need help preparing for an algebra test tomorrow

I need help with polynomials for algebra 2?

The table of values shows coordinate pairs on the graph if f(x). Which of the following could be f(x)?
-------------------
X | F(x)
5 | 0
0 | -105
-3 | 0
-------------------

Please imagine that as a table ^^

The answer choices:
A. X(x+3)(x-5)
B. (x-5) (x-3) (x+7)
C. (X+3)^2 (x+5)
D. (x+3)(x-5)^2
E. x(x-3)(x+5)

Please show your work thanks

Just try it:

The answer is b

(X - 5 )(x-3)(x+7)

If x = 5
Then
( 5 - 5 ) (5-3 ) (5+7)
0 * 2 * 12
0

If x = 0
(0 - 5) (0-3) (0+7)
-5 * -3 * 7
105

exclude A. and E. because at x = 0 they give 0
the requested function must have roots x = 5 and x = - 3
must have factors (x - 5) and (x + 3)

to my knowledge there is a typo in B
it should be (x - 5) (x + 3) (x + 7)

only with this correction it works
otherwise none of the given functions fits the data