Regents Exam: Algebra I August 2016 (Problem 23 of 37)

The video tutorial explains how to determine the possible factorization of a polynomial function by analyzing its graph. It introduces the concept of polynomial factorization, including prime polynomials, and demonstrates how to identify zeros or x-intercepts from a graph to construct the polynomial's factored form. An example is provided to illustrate these concepts, and the tutorial concludes by applying this knowledge to solve a specific problem, identifying the correct factorization from given options.

How do the x-coordinates of the zeros relate to the factors of the polynomial?

Based on the given polynomial, what are the factors derived from the zeros at negative 3, positive 2, and positive 4?