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 .


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

$p i s a p o l y n o m w i t h n r o o t s d i f f e r e n t s$ $l e t Q = p^{2} + p^{^{'}} l e t α t h e n u m b e r o f r o o t s o f$ $Q p r o v e t h a t n - 1 ⩽ α ⩽ n + 1 .$
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