p-is-apolynom-with-n-roots-differents-let-Q-p-2-p-let-the-number-of-roots-of-Q-prove-that-n-1-n-1-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 36905 by prof Abdo imad last updated on 07/Jun/18

p is apolynom with n roots differents let Q = p^2 +p^′ let α the number of roots of Q prove that n−1≤α≤n+1 .

$${p}\:{is}\:{apolynom}\:{with}\:{n}\:{roots}\:{differents} \\ $$$${let}\:{Q}\:=\:{p}^{\mathrm{2}} \:+{p}^{'} \:\:\:\:{let}\:\alpha\:{the}\:{number}\:{of}\:{roots}\:{of} \\ $$$${Q}\:{prove}\:{that}\:\:\:{n}−\mathrm{1}\leqslant\alpha\leqslant{n}+\mathrm{1}\:. \\ $$

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p-is-apolynom-with-n-roots-differents-let-Q-p-2-p-let-the-number-of-roots-of-Q-prove-that-n-1-n-1-

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