For what values of does the polynomial P(x)  =x4 +cx3 +x2have two inflection points? Oneinflection point? None? Illustrate by graphing P for severalvalues of c . How does the graph change as c decreases?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 2SE: If a polynomial function of degree n has n distinctzeros, what do you know about the graph of...
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For what values of does the polynomial P(x)  =x4 +cx3 +x2
have two inflection points? One
inflection point? None? Illustrate by graphing P for several
values of c . How does the graph change as c decreases?

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