Consider the following list of properties: Zero:  -1 with multiplicity 2 Zero: 0 with multiplicity 1 Zero:  1 with multiplicity 2 End Behavior:                  a) Try to sketch a polynomial that satisfies the above properties. Is it possible? Why or why not? b) If it is not possible, change one thing in the above list to make it possible. Sketch a new polynomial using this change.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following list of properties:

  • Zero:  -1 with multiplicity 2
  • Zero: 0 with multiplicity 1
  • Zero:  1 with multiplicity 2
  • End Behavior:

                

a) Try to sketch a polynomial that satisfies the above properties. Is it possible? Why or why not?

b) If it is not possible, change one thing in the above list to make it possible. Sketch a new polynomial using this change.

as x+ 0, f(x) → -c
as x+ - 0, f(x) → –
Transcribed Image Text:as x+ 0, f(x) → -c as x+ - 0, f(x) → –
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