Having difficulty with the first part, where we are asked to show analytically that x^3+3x+1 is one-to-one. I've tried various approaches, all based on trying to show that c=d as described in this chapter, included factoring the difference of cubes and applying the quadratic formula. So far, I am stuck. Can you give me a hint as to how to proceed?
Update: I believe I now have a solution, but would like to pass it by you. However, I am not sure what your preference is for posting answers to questions that are not, themselves, answered in the book. Please let me know. Bob