92. DISCUSS DISCOVER: Possible Number of Local Extrema Is it possible for a third-degree polynomial to have exactly one local extremum? Can a fourth-degree polynomial have exactly two local extrema? How many local extrema can polynomials of third, fourth, fifth, and sixth degree have? (Think about the end behavior of such polynomials.) Now give an example of a polynomial that has six local extrema,
92. DISCUSS DISCOVER: Possible Number of Local Extrema Is it possible for a third-degree polynomial to have exactly one local extremum? Can a fourth-degree polynomial have exactly two local extrema? How many local extrema can polynomials of third, fourth, fifth, and sixth degree have? (Think about the end behavior of such polynomials.) Now give an example of a polynomial that has six local extrema,
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 18E
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![92. DISCUSS
DISCOVER: Possible Number of Local Extrema
Is it possible for a third-degree polynomial to have exactly
one local extremum? Can a fourth-degree polynomial have
exactly two local extrema? How many local extrema can
polynomials of third, fourth, fifth, and sixth degree have?
(Think about the end behavior of such polynomials.) Now
give an example of a polynomial that has six local extrema,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6cb701b-db58-4c34-9c30-1feedcf1d7a4%2Fb5657e29-f6e3-45a3-8739-7882d489ff22%2Fb2vqnfa_processed.png&w=3840&q=75)
Transcribed Image Text:92. DISCUSS
DISCOVER: Possible Number of Local Extrema
Is it possible for a third-degree polynomial to have exactly
one local extremum? Can a fourth-degree polynomial have
exactly two local extrema? How many local extrema can
polynomials of third, fourth, fifth, and sixth degree have?
(Think about the end behavior of such polynomials.) Now
give an example of a polynomial that has six local extrema,
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