let-p-x-x-n-a-n-1-x-n-1-a-1-x-a-o-if-is-roots-of-p-x-prove-that-1-max-0-i-n-1-a-i-

Question Number 31491 by abdo imad last updated on 09/Mar/18

l e t p (x) = x^{n} + a_{n - 1} x^{n - 1} + \dots . a_{1} x + a_{o}

i f ξ i s r o o t s o f p (x) p r o v e t h a t ∣ ξ ∣ ⩽ 1 + {m a x}_{0 ⩽ i ⩽ n - 1} ∣ a_{i} ∣