check all that apply please

As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of [tex] 3x^{2} +7x-20 [/tex]
As, x+4=0 gives x=-4.
So, option C is correct,
(x+4) is factor of [tex] 3x^{2} +7x-20 [/tex]
Option E is correct
[tex] \frac{3x^{2} +7x-20 }{x+4}=3x-5 [/tex]