• Support PF! Buy your school textbooks, materials and every day products Here!

Max/Min of Polynomial Functions

1. Homework Statement
Does anyone know a possible equation or way to solve for the Max and Min of a Polynomial Function without Calculus or the Derivative test??


2. Homework Equations



3. The Attempt at a Solution
 

Answers and Replies

Dick
Science Advisor
Homework Helper
26,258
618
I do if it's a quadratic. Complete the square. You can do similar tricks with some other special polynomials. Otherwise it's using derivatives.
 
What if you are given the zeroes and the multiplicity of the zeroes???
 
Dick
Science Advisor
Homework Helper
26,258
618
It will tell you that the maxs and mins that aren't at zero are between the zeros, but it won't tell you much more about them. If you have, for example, a double zero at a, (x-a)^2 is a factor of the polynomial and you can say x=a is a max or a min depending on the sign of the rest of the terms, that is true.
 
Last edited:
ooo alright thanks a lot!
 

Related Threads for: Max/Min of Polynomial Functions

  • Last Post
Replies
2
Views
3K
Replies
2
Views
669
  • Last Post
Replies
11
Views
882
  • Last Post
Replies
1
Views
16K
  • Last Post
Replies
1
Views
751
Replies
3
Views
3K
  • Last Post
Replies
7
Views
1K
Top