Explore BrainMass

Explore BrainMass

    Real Analysis: Proof by induction that a polynomial of degree n>0 has at most n roots.

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

    A polynomial of degree n>0 has at most n roots. (A root of a function is a point at which the function has value 0.)

    I need a proof by induction to show this.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:15 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/proof-induction-polynomial-degree-most-9669

    Solution Preview

    Please see the attached file for the full solution.

    Thanks for using BrainMass.

    A polynomial of degree n>0 has at most n roots. (A root of a function is a point at which the function has value 0.)

    I need a proof by induction to show this. Please do not respond if you don't know how to do a proof by induction. Thanks...

    Note: We only consider polynomial with REAL ...

    Solution Summary

    It is proven the a polynomial of degree n>0 has at most n roots. A foot of a function is analyzed.

    $2.19

    ADVERTISEMENT