Hey There!
In order to solve this you need to factor f(x) = x^3 - 19x + 30 Entirely.
When you do that you get these factors;
f(x) = (x – 2) (x – 3) (x + 5)
From there you play 'elimination'
A) There is no listed factor for (x + 2)
B) There is no listed factor for (x + 3)
<u>C) There is a listed factor for (x + 5)!</u>
D) There is no listed factor for (x - 5)
Hope I helped, Five Stars & Brainliest always helps!