Question

Given that p(-3)=0,p(-1)=0,and p(5)=0, which expression could be p(x)

Answer 1

You are given three of the x-intercepts of p(x)
So in it simplest form

p(x) = (x+3)(x+1)(x-5)

confirmation: https://www.wolframalpha.com/input/?i=plot+p(x)+%3D+(x%2B3)(x%2B1)(x-5)

other version could be
p(x) = 14(x+3)(x+1)(x-5)
p(x) = (x+3)(x+1)(x-5)(x+9)
p(x) = (x+3)^2(x+1)(x-5) , etc