Question

How many critical points (turning points) do we expect a higher order polynomial to have?

Answer 1

Just to be rigorous ;) , if we have a polynomial of degree n. Then there exists n roots. Whether they be real or complex.

Answer 2

ie. \(x^2+1=0\) \(x^2=-1,~-1\)

Answer 3

Now they do not have to be distinct roots, just remember that.

Answer 4

Okay thank you so much

Answer 5

np