If p(-3) = p(-1) = p(2)= 0 and p(0) =6 find the cubic polynomial

Answer 1

p = (x+3)(x+1)(x-2)(x-a) which is not cubic

at x = 0, p = 6
6 = 3*1*-2(-a)
6 = 6 a
a = 1
so
p = (x+3)(x+1)(x-2)(x-1)
multiply that out