Module 4. Solving Polynomials. Directions: Read and answer all questions. Please show all of your work on a separate sheet of paper. You may neatly hand write your work and upload its clear pictures. You may also type up your work. Attach all documents in the dropbox below.

Consider the graph of f(x) = x3 -3x2 + 2x - 6 below

What is the real solution of f(x) based on the graph? Verify algebraically that your answer is a zero of f(x). (7 points).
Factor f(x). (8 points).
Find all complex zeros of f(x). (8 points).
Write f as a product of three linear factors. (7 points).
Module 4. Solving Polynomials.

Directions: Read and answer all questions. Please show all of your work on a separate sheet of paper. You may neatly hand write your work and upload its clear pictures. You may also type up your work. Attach all documents in the dropbox below.

Consider the graph of f(x) = x3 -3x2 + 2x - 6 below

What is the real solution of f(x) based on the graph? Verify algebraically that your answer is a zero of f(x). (7 points).
Factor f(x). (8 points).
Find all complex zeros of f(x). (8 points).
Write f as a product of three linear factors. (7 points).