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## Homework Statement

1. Let ##p(x) = a_{0} x^{n} + a_{1} x^{n−1} + ... + a_{n} , a_{0} \neq 0 ##be an univariate polynomial of degree n.

Let r be its root, i.e. p(r) = 0. Prove that

## |r| \leq max(1, \Sigma_{1 \leq i \leq n} | \dfrac{a_{i} }{ a_{0} } | )##

Is it always true that?

## |r| \leq \Sigma_{1 \leq i \leq n} | \dfrac{a_{i} }{ a_{0} } | )##

## Homework Equations

##ar + br^{2} =0 ##

## r(a+br)=0 ##

## r=0 & r = -a/b##

## The Attempt at a Solution

The last equation satisfies what they state but I dont know how to proceed?

Any help?