Let s be the set of all polynomials of degree at most 3. an element s of s can then be expressed as s = ax3 + bx2 + cx + d, where a, b, c, d ∈ r. a relation r is defined on s by p r q if p and q have a root in common. (for example, p = (x − 1)2 and q = x2 − 1 have the root 1 in common so that p r q.) determine which of the properties reflexive, symmetric and transitive are possessed by r.