Design a polynomial function with the followingcharacteristics: degree 6; four distinct real zeros, one ofmultiplicity 3; y-intercept 3; behaves like y = - 5x6for largevalues of x . Is this polynomial unique? Compare yourpolynomial with those of other students. What terms will be the same as everyone else’s? Add some more characteristics,such as symmetry or naming the real zeros. How does thismodify the polynomial?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Design a polynomial function with the following
characteristics: degree 6; four distinct real zeros, one of
multiplicity 3; y-intercept 3; behaves like y = - 5x6
for large
values of x . Is this polynomial unique? Compare your
polynomial with those of other students. What terms will be

the same as everyone else’s? Add some more characteristics,
such as symmetry or naming the real zeros. How does this
modify the polynomial?

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