When given the polynomial f(x) = 2x3 + 3x2 - 17x - 30 is divided by each of the following, which ones are factors of f(x)? Algebraically justify your reasoning.
(x - 1)

x - 2

x - 3

x + 2

2) Use the results from #1 and the factor theorem to algebraically determine all the binomial factors of
f(x) = 2x3 + 3x2 - 17x - 30