View the step-by-step solution to:

Question

<ol><li>Consider the real polynomial p(x) = x3 − x in a real variable x. Find all x such

that p(x) = 0.</li><li>Again, consider the same p(x) with x real. For which real values y are there three real solutions to p(x) = y? You might want to sketch the graph.</li><li>When is the real derivative p′(x) = 0?</li><li>What is the behavior of p(x) for real values of x near the real locations where p′(x) = 0?</li></ol>

Top Answer

x = 0, x =-1, x =1 x = 0, x =-1, x =1 [Graph is at explanation... View the full answer

graph px.png

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question