page1359      Rings      Matthias Lorentzen...mattegrisenforlag.com


Look at the picture beneath, then scroll down to the question and click the correct Answer button.

Question

Let p(c) = 0 for some c `in R`. This is called the evaluation of p(x) at x = c. Is it true that `p(c) = 0 implies` p(x) is the zero polynomial ?