B bearej50 New member Joined Feb 16, 2009 Messages 21 May 5, 2009 #1 Show that any polynomial of odd degree has at least one real root. I think that I would use the intermediate value theorem... but how?
Show that any polynomial of odd degree has at least one real root. I think that I would use the intermediate value theorem... but how?
D daon Senior Member Joined Jan 27, 2006 Messages 1,284 May 5, 2009 #2 Odd degree polynomials ultimately tend to negative infinity in one direction and positive infinity in the other. Show there exists a point a such that p(a)>0 and another point b such that p(b) < 0. Then apply the intermediate value theorem.
Odd degree polynomials ultimately tend to negative infinity in one direction and positive infinity in the other. Show there exists a point a such that p(a)>0 and another point b such that p(b) < 0. Then apply the intermediate value theorem.
