Proof Prove that if a > 0 and n is any positive integer, then the polynomial function p(x) = x2n+1 + ax + b cannot have two real roots.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs
Problem 63E
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Proof Prove that if a > 0 and n is any positive integer, then
the polynomial function p(x) = x2n+1 + ax + b cannot have
two real roots.
Transcribed Image Text:Proof Prove that if a > 0 and n is any positive integer, then the polynomial function p(x) = x2n+1 + ax + b cannot have two real roots.
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