The polynomial f(x) = ax^3 -15x^2 + by - 2 has a factor of 2x-1 and a remainder of 5 when divided by x-1.
i) Show that b = 8 and find a
II) using the values of a and b from part (I), express f(x) in the form (2x-1)g(x), where g(x) is a quadratic factor to be found.
