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

Not what you're looking for? Search our solutions OR ask your own Custom question.

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.

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:37 am ad1c9bdddfhttps://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.

$2.49