Explore BrainMass

Real Analysis : Proof using an Integral and Mean Value Theorem

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

For numbers a1,....,an, define
p(x) = a1x +a2x^2+....+anx^n for all x. Suppose that:

(a1)/2 + (a2)/3 +....+ (an)/(n+1) = 0

Prove that there is some point x in the interval (0,1) such that p(x) = 0

© BrainMass Inc. brainmass.com March 21, 2019, 10:21 am ad1c9bdddf

Solution Summary

An integral and Mean Value Theorem are used to provide a real analysis proof.