Solve Part (b) of Nonzero Polynomials | Help Needed

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The discussion centers on solving part (b) of a problem related to nonzero polynomials, specifically referencing the fundamental theorem of algebra. The user has successfully completed part (a) and seeks assistance in understanding the structure of the polynomial required for part (b). Key concepts include the characteristics of nonzero polynomials and their implications under the fundamental theorem of algebra.

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Joe20
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Hi all, I have solved part (a) which require verification if it is correct.

However, for part b, I am not sure how to do. Appreciate your help. Thank you.
 

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Hint: fundamental theorem of algebra, I think. What would such a polynomial have to look like?
 

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