The function p(x) = x³ - 2x² - 9x + 18 is a polynomial function.
(a) The value of p(3) is 0. What does this tell you about factors of p(x)?
(b) Factor x³ - 2x² - 9x + 18 completely.
(c) What are the zeros of the p(x)? Explain how the zeros are related to the factored form.