Consider the function f(x) = x3 − 6x2 + 11x − 6.
PART A: One factor of the function f(x) = x3 − 6x2 + 11x − 6 is (x − 3). Use that factor to divide and further factor the polynomial and find the x-intercepts without using technology.
PART B: Describe key characteristics of the graph of the function such as the number of x-intercepts, the y-intercept, and the end behavior without using technology. Explain with complete sentences using components of the function to support your answer.