Why do you notusethe information you are given?

And since p has degree six, any other factor must bezero of multiplicity 2 at t =1 implies (t-1)^2 is a factor

zero of multiplicity 3 at t = 2 implies (t-2)^3 is a factorlinear:

p(t)= (t- 1)^2(t- 2)^3(at+ b)

Now put the other information into that.