You are here:

Advanced Math/Algebra (Polynomials)

Advertisement


Question
Prove that product of sum of roots and sum of reciprocal of roots of a polynomial with degree n is always greater than n^2 (n - square).

Answer
Questioner:   Prashant  
Private:No
Question:
Prove that product of sum of roots and sum of reciprocal of roots of a polynomial with degree n is always greater than n^2 (n - square).
.......................................
I don't think this is true. Do you have a proof?

Advanced Math

All Answers


Answers by Expert:


Ask Experts

Volunteer


Paul Klarreich

Expertise

I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience

I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

Education/Credentials
-----------

©2016 About.com. All rights reserved.