Determine which of the sets of vectors is linearly independent.
A: The set {p1, p2,p3} where p1(t) = 1, p2(t) = t^2, p3(t) = 3 + 4t
B: The set {p1, p2,p3} where p1(t) = t, p2(t) = t^2, p3(t) = 3t + 4t^2
C: The set {p1, p2,p3} where p1(t) = 1, p2(t) = t^2, p3(t) = 3 + 4t + t^2
Clearly A and C.